Temat: boundary elements - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems
Autorzy:: Leyk, Zbigniew
Powiązania:: https://bibliotekanauki.pl/articles/747667.pdf
Data publikacji:: 1989
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Finite elements, Rayleigh-Ritz, Galerkin and collocation
Boundary value problems
Opis:: .
In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.
Źródło:: Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Superconvergence effect in finite element methods for two-point boundary value problems
Autorzy:: Regińska, Teresa
Powiązania:: https://bibliotekanauki.pl/articles/747715.pdf
Data publikacji:: 1987
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Boundary value problems
Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
Opis:: .
Approximate methods for solving two-point boundary value problems are considered. The aim of the paper is to explain superconvergence effect in the methods using finite element spaces. The existence of a class of the methods with the superconvergence property is demonstrated. Detailed proofs of superconvergence are presented for the case of the Galerkin method (due to Douglas and Dupont results) and for some example of external method.
Źródło:: Mathematica Applicanda; 1987, 16, 30
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon
Autorzy:: Roliński, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/747369.pdf
Data publikacji:: 1993
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Boundary element methods
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Opis:: .
This paper is concerned with a numerical method for solving the problem Δu=f in Ωc (=intR2\Ω), (du/dn)|Γ=g, where ΩR2 is a polygon and Γ is the boundary of Ω. The method is based on coupling finite and boundary element techniques. To compensate for the loss of smoothness of the solution u near the corners of the polygon Ω we refine the triangulation without changing the number of triangles. We apply the affine triangular Lagrangean element of degree kN and the Lagrangean boundary element of degree k−1 to obtain the optimal order of convergence via the Galerkin projection.
Źródło:: Mathematica Applicanda; 1993, 22, 36
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: An analysis of the exterior Neumann problem for the Poisson equation in connection with a numerical procedure
Autorzy:: Roliński, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/747373.pdf
Data publikacji:: 1993
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Boundary element methods
Boundary value problems for second-order elliptic equations
Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Opis:: .
This paper is concerned with transforming the exterior problem Δu=f on Ωc, (∂u/∂n)|Γ=g, where ΩR2 is a bounded region and Ω^(c)=int(R2\Ω), into a problem represented by two equations. The first one is posed on a bounded domain and the second one is posed on the outer part of the boundary of the domain. This new problem is suitable for a numerical method based on coupling the finite and boundary element methods.
Źródło:: Mathematica Applicanda; 1993, 22, 36
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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