On the stability of the \(L_2\) projection in fractional Sobolev spaces
From MaRDI portal
Publication:5944672
DOI10.1007/s002110000238zbMath0989.65124MaRDI QIDQ5944672
Publication date: 15 July 2002
Published in: Numerische Mathematik (Search for Journal in Brave)
stabilitynumerical examplefinite element methodsmesh generation\(L_{2}\) projectionfractional Sobolev norms
Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items
Analysis of a mesh-dependent stabilization for the three fields domain decomposition method, Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation, Proposition de préconditionneurs pseudo-différentiels pour l'équation CFIE de l'électromagnétisme, On 2D newest vertex bisection: optimality of mesh-closure and \(H ^{1}\)-stability of \(L _{2}\)-projection, On a full discretisation for nonlinear second-order evolution equations with monotone damping: construction, convergence, and error estimates, Preconditioned Space-Time Boundary Element Methods for the One-Dimensional Heat Equation, \(C ^{0}\) elements for generalized indefinite Maxwell equations, On the Sobolev and $L^p$-Stability of the $L^2$-Projection, Boundary element simulation of thermal waves, Boundary element simulation of thermal waves, Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization, Zienkiewicz–Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes, Domain decomposition methods via boundary integral equations, Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement
