Coupling strategy for matching different methods in solving singularity problems

DOI10.1007/BF02238799zbMath0718.65073OpenAlexW183239553MaRDI QIDQ2639614

Yanyan Li

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238799

zbMATH Keywords

stability analysisfinite element methoderror analysisRitz-Galerkin methodoptimal rate of convergenceinterface problemscombined methodssingularity problemscoupling strategy

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Superconvergence of coupling techniques in combined methods for elliptic equations with singularities, Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems, Unnamed Item, The finite volume method and application in combinations, Singularities and treatments of elliptic boundary value problems.

Cites Work

• Unnamed Item
• A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Angular singularities of elliptic problems
• Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements