The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces

DOI10.1016/0045-7825(92)90164-FzbMath0762.65059OpenAlexW2030621650MaRDI QIDQ1205643

Ivo M. Babuška, Hae-Soo Oh

Publication date: 1 April 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90164-f

zbMATH Keywords

rate of convergencefinite element methodnumerical examplesconformal mappingsingularity\(p\)-versioninterface problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Schwarz-Christoffel-type mappings (30C30)

Related Items

The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities, The partition of unity finite element method: basic theory and applications, The singular finite element method for some elliptic boundary value problem with interface, The direct method of lines for elliptic problems in star-shaped domains, Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map, Accurate mode-separated energy release rates for delamination cracks., \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains, The weighted finite element method for elasticity equations on unbounded domains, The direct method of lines for the numerical solutions of interface problem, Error estimates and adaptive finite element methods, The numerical methods for oscillating singularities in elliptic boundary value problems, Discrete boundary conditions for problems with interface, A study of spectral element method for elliptic interface problems with nonsmooth solutions in $\mathbb{R}^{2}$, Spectral element method for three dimensional elliptic problems with smooth interfaces, Finite element method for solving problems with singular solutions, A finite element method for Stokes equation using discrete singularity expansion, Singularities and treatments of elliptic boundary value problems.

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