Adaptive Coupling and Fast Solution of FEM-BEM Equations for Parabolic-Elliptic Interface Problems

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-1476(19970325)20:5<403::AID-MMA816>3.0.CO;2-5" /><403::AID-MMA816>3.0.CO;2-5 10.1002/(SICI)1099-1476(19970325)20:5<403::AID-MMA816>3.0.CO;2-5zbMath0871.65088OpenAlexW2032069122MaRDI QIDQ3127509

P. Mund, Ernst Peter Stephan

Publication date: 1 October 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19970325)20:5<403::aid-mma816>3.0.co;2-5

zbMATH Keywords

convergencefinite elementsnumerical exampleserror estimateboundary elementsadaptive grid generationconjugate residual iterationsdiscontinuous Galerkin discretization in timelinear parabolic-elliptic problems

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates ⋮ FEM-BEM coupling for the exterior Stokes problem with non-conforming finite elements and an application to small droplet deformation dynamics ⋮ A FE/BE coupling for the 3D time-dependent eddy current problem. I: A priori error estimates ⋮ A FE/BE coupling for the 3D time-dependent eddy current problem. II: A posteriori error estimates and adaptive computations ⋮ Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D ⋮ An adaptive finite element method for a time‐dependent Stokes problem

Cites Work

• The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Symmetric coupling of finite elements and boundary elements for a parabolic-elliptic interface problem
• Time discretization of parabolic problems by the discontinuous Galerkin method
• A time-dependent interface problem for two-dimensional eddy currents
• Adaptive coupling of boundary elements and finite elements

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