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Wyszukujesz frazę "fundamental solution" wg kryterium: Temat

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    Wyświetlanie 1-13 z 13
    Tytuł:
    The representation of smooth functions in terms of the fundamental solution of a linear parabolic equation
    Autorzy:
    Watson, Neil
    Powiązania:
    https://bibliotekanauki.pl/articles/1207895.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    fundamental solution
    parabolic equation
    representation theorem
    Opis:
    Let L be a second order, linear, parabolic partial differential operator, with bounded Hölder continuous coefficients, defined on the closure of the strip $X = ℝ^{n} × ]0,a[$. We prove a representation theorem for an arbitrary $C^{2,1}$ function, in terms of the fundamental solution of the equation Lu=0. Such a theorem was proved in an earlier paper for a parabolic operator in divergence form with $C^{∞}$ coefficients, but here much weaker conditions suffice. Some consequences of the representation theorem, for the solutions of Lu=0, are also presented.
    Źródło:
    Annales Polonici Mathematici; 2000, 75, 3; 281-287
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Explicit estimation of an integral in a domain by the multiple reciprocity method with the use of inverse operations
    Autorzy:
    Frąckowiak, A.
    Ciałkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1964164.pdf
    Data publikacji:
    2005
    Wydawca:
    Politechnika Gdańska
    Tematy:
    Poisson equation
    multiple reciprocity method
    inverse operation
    fundamental solution
    Opis:
    The paper presents two methods of solving the Poisson equation. One is based on the multiple reciprocity method. An analytical form of the basic solution obtained by means of inverse operation technique enabled assessing the method's error. The other is based on source function expansion into a series according to polyharmonic functions. Further polyharmonic functions have been obtained through inverse operations (with the delta -1 operator) applied to polyharmonic functions. Numerical results have confirmed perfect efficiency of both methods.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 2; 235-244
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A general study of fundamental solutions in aniotropicthermoelastic media with mass diffusion and voids
    Autorzy:
    Chawla, Vijay
    Kamboj, Deepmala
    Powiązania:
    https://bibliotekanauki.pl/articles/1839675.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    termosprężystość
    dyfuzja masy
    źródło ciepła
    general solution
    fundamental solution
    thermoelastic
    voids
    mass diffusion
    Opis:
    The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass diffusion and voids is derived first. On the basis of the obtained general solution, the fundamental solution for a steady point heat source on the surface of a semi-infinite transversely isotropic thermoelastic material with mass diffusion and voids is derived by nine newly introduced harmonic functions. The components of displacement, stress, temperature distribution, mass concentration and voids are expressed in terms of elementary functions and are convenient to use. From the present investigation, some special cases of interest are also deduced and compared with the previous results obtained, which prove the correctness of the present result.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 4; 22-41
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fundamental solution of the problem describing ship motion in waves
    Autorzy:
    Jankowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255889.pdf
    Data publikacji:
    2006
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    ship hydrodynamics
    boundary value problem
    free-surface potential flows
    fundamental solution
    Opis:
    The problem describing a ship motion in waves comprises the Laplace equation, boundary condition on wetted surface of the ship, condition on the free surface of the sea in the form of a differential equation, the radiation condition, and a condition at infinity. This problem can be transformed to a Fredholm equation of second kind, and then numerically solved using the boundary element method, if the fundamental solution of the problem is known. This paper presents the derivation of the fundamental solution. In physical interpretation, the fundamental solution represents the moving and pulsating source under free surface of the sea. The free surface elevation, generated by the source for different forward speed and frequency of pulsation, is presented in this paper.
    Źródło:
    Opuscula Mathematica; 2006, 26, 3; 471-481
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Boundary integral representations of second derivatives in shape optimization
    Autorzy:
    Eppler, Karsten
    Powiązania:
    https://bibliotekanauki.pl/articles/729245.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    optimal shape design
    fundamental solution
    boundary integral equation
    second-order derivatives
    optimality conditions
    Opis:
    For a shape optimization problem second derivatives are investigated, obtained by a special approach for the description of the boundary variation and the use of a potential ansatz for the state. The natural embedding of the problem in a Banach space allows the application of a standard differential calculus in order to get second derivatives by a straight forward "repetition of differentiation". Moreover, by using boundary value characerizations for more regular data, a complete boundary integral representation of the second derivative of the objective is possible. Basing on this, one easily obtains that the second derivative contains only normal components for stationary domains, i.e. for domains, satisfying the first order necessary condition for a free optimum. Moreover, the nature of the second derivative is discussed, which is helpful for the investigation of sufficient optimality conditions.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 1; 63-78
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    n-sided polygonal hybrid finite elements involving element boundary integrals only for anisotropic thermal analysis
    Autorzy:
    Cao, R. F.
    Zhao, X. J.
    Lin, W. Q.
    Wang, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/38597074.pdf
    Data publikacji:
    2020
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    hybrid finite element
    polygon
    non-conforming mesh
    fundamental solution
    anisotropic material
    heat conduction
    Opis:
    As a combination of the traditional finite element method and boundary element method, the n-sided polygonal hybrid finite element method with fundamental solution kernels, named as HFS-FEM, is thoroughly studied in this work for two-dimensional heat conduction in fully anisotropic media. In this approach, the unknown temperature field within the polygon is represented by the linear combination of anisotropic fundamental solutions of problem to achieve the local satisfaction of the related governing equations, but not the specific boundary conditions and the continuity conditions across the element boundary. To tackle such a shortcoming, the frame temperature field is independently defined on the entire boundary of the polygonal element by means of the conventional one-dimensional shape function interpolation. Subsequently, by the hybrid functional with the assumed intra- and inter-element temperature fields, the stiffness equation can be obtained including the line integrals along the element boundary only, whose dimension is reduced by one compared to the domain integrals in the traditional finite elements. This means that the higher computing efficiency is expected. Moreover, any shaped polygonal elements can be constructed in a unified form with the same fundamental solution kernels, including convex and non-convex polygonal elements, to provide greater flexibility in meshing effort for complex geometries. Besides, the element boundary integrals endow the method higher versatility with a non-conforming mesh in the pre-processing stage of the analysis over the traditional FEM. No modification to the HFS-FEM formulation is needed for the non-conforming mesh and the element containing hanging nodes is treated normally as the one with more nodes. Finally, the accuracy, convergence, computing efficiency, stability of non-convex element, and straightforward treatment of non-conforming discretization are discussed for the present n-sided polygonal hybrid finite elements by a few applications in the context of anisotropic heat conduction.
    Źródło:
    Archives of Mechanics; 2020, 72, 2; 109-137
    0373-2029
    Pojawia się w:
    Archives of Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Green’s function for a multifield material with a heat source
    Autorzy:
    Rogowski, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/279505.pdf
    Data publikacji:
    2016
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    Green's functions
    point heat source
    multifield material
    magneto-electro-thermo-elastic fundamental solution
    multifield composites
    exact solution
    Opis:
    Green’s functions for a multifield material subjected to a point heat source are presented in an explicit analytical form. The study concerns the steady-state thermal loading infi- nite region, half-space region and two-constituent magneto-electro-thermo-elastic material region. The new mono-harmonic potential functions, obtained by the author, are used in the analysis. The elastic displacement, electric potential, magnetic potential and induced by those coupled multifield physical quantities, caused by internal or external heat sources, are limited and presented in a very useful form, exactly and explicitly.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2016, 54, 3; 743-755
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal Shape Design for Elliptic Equations Via Bie-Methods
    Autorzy:
    Eppler, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/911209.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    rozwiązanie podstawowe
    równanie całkowe
    optimal shape design
    fundamental solution
    boundary integral equation
    first-order necessary condition
    Opis:
    A special description of the boundary variation in a shape optimization problem is investigated. This, together with the use of a potential theory for the state, result in natural embedding of the problem in a Banach space. Therefore, standard differential calculus can be applied in order to prove the Frechet-differentiability of the cost function for appropriately chosen data (sufficiently smooth). Moreover, necessary optimality conditions are obtained in a similar way as in other approaches, and are expressed in terms of an adjoint state for more regular data.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 487-516
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Solving Parabolic Equations by Using the Method of Fast Convergent Iterations
    Autorzy:
    Bondarenko, V.
    Bidyuk, P.
    Bernatska, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911186.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fundamental solution
    Riemannian manifold
    rate of convergence
    iteration technique
    numerical simulation
    parabolic equations
    równanie paraboliczne
    rozwiązanie podstawowe
    symulacja numeryczna
    Opis:
    The paper describes an approach to solving parabolic partial differential equations that generalizes the well-known parametrix method. The iteration technique proposed exhibits faster convergence than the classical parametrix approach. A solution is constructed on a manifold with the application of the Laplace-Beltrami operator. A theorem is formulated and proved to provide a basis for finding a unique solution. Simulation results illustrate the superiority of the proposed approach in comparison with the classical parametrix method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 333-344
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fizyczne implikacje matematycznego opisu efektu Dopplera
    Physical implication of the mathematical description of Dopplers effect
    Autorzy:
    Rafa, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/209626.pdf
    Data publikacji:
    2008
    Wydawca:
    Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
    Tematy:
    efekt Dopplera
    równanie falowe
    metoda Cagniarda de Hoopa
    rozwiązanie fundamentalne
    Doppler's effect
    wave equation Cagniard de-Hoop's method fundamental solution
    Opis:
    W publikacji przedstawiono rozwiązanie dla równania modelującego efekt Dopplera. Poruszające się źródło generuje propagującą się w otaczającej czasoprzestrzeni falę, która emituje okresowy sygnał. W punkcie czasoprzestrzeni sygnał ten jest odbierany ze zmienioną pulsacją wywołaną sprzężeniem ruchu falowego z ruchem źródła tej fali. Wyznaczono efektywne rozwiązanie tego zagadnienia metodą Cagniarda de Hoopa.
    In the paper we presented a solution for the equation modelling the Doppler's effect. The moving source generates the wave which is propagated in the time-space with a periodic signal. Using the Cagniard de-Hoop's method we constructed the solution of the above problem in the closed form.
    Źródło:
    Biuletyn Wojskowej Akademii Technicznej; 2008, 57, 4; 85-93
    1234-5865
    Pojawia się w:
    Biuletyn Wojskowej Akademii Technicznej
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of the fundamental solution of a second order evolution equation
    Autorzy:
    Bochenek, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1294733.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    evolution problem
    stable family of operators
    stable approximations of the evolution operator
    fundamental solution
    Cauchy problem
    uniformly correct Cauchy problem
    Opis:
    We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence ${A_n(t)}$ of bounded operators.
    Źródło:
    Annales Polonici Mathematici; 1997, 66, 1; 15-35
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bessel matrix differential equations: explicit solutions of initial and two-point boundary value problems
    Autorzy:
    Navarro, Enrique
    Company, Rafael
    Jódar, Lucas
    Powiązania:
    https://bibliotekanauki.pl/articles/1340656.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    initial value problem
    closed form solution
    fundamental set
    boundary value problem
    Bessel matrix equation
    Opis:
    In this paper we consider Bessel equations of the type $t^2 X^{(2)}(t) + t X^{(1)}(t) + (t^2 I - A^2)X(t) = 0$, where A is an n$\times$n complex matrix and X(t) is an n$\times$m matrix for t > 0. Following the ideas of the scalar case we introduce the concept of a fundamental set of solutions for the above equation expressed in terms of the data dimension. This concept allows us to give an explicit closed form solution of initial and two-point boundary value problems related to the Bessel equation.
    Źródło:
    Applicationes Mathematicae; 1993-1995, 22, 1; 11-23
    1233-7234
    Pojawia się w:
    Applicationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Problematic Issues of Protection of Procedural Rights of the Claimant in the Implementation of Enforcement Proceedings in the Context of the Decisions of the European Court of Human Rights
    Autorzy:
    Kolobov, Leonid
    Powiązania:
    https://bibliotekanauki.pl/articles/1931988.pdf
    Data publikacji:
    2021-03-31
    Wydawca:
    Wydawnictwo Adam Marszałek
    Tematy:
    collector
    enforcement proceedings
    private proceedings
    pilot solution
    European Court of Human Rights
    Convention for the Protection of Human Rights and Fundamental Freedoms
    resolution of the Committee of the Council of Europe
    access to court
    Opis:
    The article considers the issue of non-execution and / or long-term execution of court decisions by the judicial bodies of Ukraine, which are assigned the relevant functions by law, which serves as the basis for numerous appeals of citizens to the European Court of Human Rights. The decisions of the European Court of Human Rights on the consideration of complaints of persons who are parties to enforcement proceedings - collectors in connection with the noncompliance of the state of Ukraine with court decisions and resolutions of the Cabinet of Ministers of Europe are analyzed.
    Źródło:
    Krakowskie Studia Małopolskie; 2021, 1(29); 67-79
    1643-6911
    Pojawia się w:
    Krakowskie Studia Małopolskie
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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