Inverted finite elements: a new method for solving elliptic problems in unbounded domains
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Publication:5315502
DOI10.1051/m2an:2005001zbMath1078.65102OpenAlexW2060817825MaRDI QIDQ5315502
Publication date: 8 September 2005
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_1_109_0
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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (13)
A few new (?) facts about infinite elements ⋮ Complex valued spectral Hermite approximations for the actively mode-locked laser ⋮ Explicit div-curl inequalities in bounded and unbounded domains of \({{\mathbb {R}}}^3\) ⋮ Inverted finite elements for div-curl systems in the whole space ⋮ On the three‐dimensional stationary exterior Stokes problem with non standard boundary conditions ⋮ A category theoretical interpretation of discretization in Galerkin finite element method ⋮ Numerical approximation of second-order elliptic problems in unbounded domains ⋮ Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions ⋮ Weighted \(L^p\) theory of the Stokes and the bilaplacian operators in the half-space ⋮ Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method ⋮ Discretization by rational and quasi-rational functions of multi-dimensional elliptic problems in the whole space ⋮ FEM solution of exterior elliptic problems with weakly enforced integral non reflecting boundary conditions ⋮ Inverted finite elements for degenerate and radial elliptic problems in unbounded domains
Cites Work
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- Spectral methods for exterior elliptic problems
- Solution of acoustic scattering problems by means of second kind integral equations
- Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
- Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
- Finite element analysis of acoustic scattering
- The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces
- A perfectly matched layer for the absorption of electromagnetic waves
- Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
- Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements
- Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
- A summary of infinite element formulations for exterior Helmholtz problems
- Compact imbeddings of weighted Sobolev spaces on unbounded domains
- Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
- Les espaces du type de Beppo Levi
- A spectral method for the Stokes problem in three-dimensional unbounded domains
- Vector potentials in the half-space of
- Sur la complétion par rapport à une intégrale de Dirichlet
- Diffraction and refraction of surface waves using finite and infinite elements
- Méthode d’éléments finis pour la résolution numérique de problèmes extérieurs en dimension $2$
- Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
- Problème de Stokes dans ℝn et espaces de Sobolev avec poids
- On the Stokes system and on the biharmonic equation in the half-space: an approach via weighted Sobolev spaces
- On the Laplace operator and on the vector potential problems in the half‐space: an approach using weighted spaces
- Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
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