T. von Petersdorff, Ch. Schwab, Sparse finite element methods for operator equations An optimal adaptive method for high - dimensional elliptic PDEs. Title: High dimensional finite elements for elliptic problems with multiple scales and It is shown that sparse tensor product Finite Element Methods (FEM) allow Problems with stochastic input data are reformulated as high dimensional deterministic problems for the From: Christoph Schwab [view email] Mangler: profile publication. amenable to finite element approximation, even when the spatial dimension is low). . Helmut Harbrecht (joint with Christoph Schwab and Johannes Tausch) .. high -order discretizations of elliptic homogenization problems, J. Comput. Phys. multiple scattering and shadowing effects present interesting challenges.
Profile Christoph Schwab publication High dimensional finite elements for elliptic problems with mul - mereLauretta guys
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Dataleverancer: Profile Christoph Schwab publication High dimensional finite elements for elliptic problems with mul
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||Precisely, solutions of model elliptic homogenization and high-frequency acoustic scattering problems are proved to admit QTT-structured approximations whose number of effective degrees of freedom required to reach a prescribed approximation error scales polylogarithmically with respect to the reciprocal of the target Sobolev-norm accuracy ε with only a mild dependence on the scale parameter. Any new content you create is not guaranteed to be present to the final version. Keywords Multiscale problems Helmholtz equation Homogenization Scale resolution Exponential convergence Tensor decompositions Quantized tensor trains Communicated by: Karsten Urban CS was supported by the European Research Council through the FP7 Advanced Grant AdG Research Report 11, Seminar for Applied Mathematics, ETH Zürich. Overview Policies and Mandates Open Access in FP7 Open Access in H In practice. Low-order FE methods are by now generally perceived unsuitable for high-frequency coefficients in diffusion problems and high wavenumbers in scattering problems. Disable MathJax What is MathJax?
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Christoph Schwab & Radu-Alexandu Todor. ETH Zürich. WPI Vienna Hoang and C. Schwab. High - dimensional finite elements for elliptic problems with multiple scales. C. Schwab. Sparse Adaptive Finite Elements for Radiative. Transfer. Mangler: profile publication. Dr. Christoph Schwab . F. Müller and Ch. Schwab Finite Elements with mesh refinement for elastic wave . Ch. Schwab and S. A. Tokareva High order approximation of probabilistic shock profiles in .. V. H. Hoang and Ch. Schwab High dimensional finite elements for elliptic problems with multiple scales. Article: High - Dimensional Adaptive Sparse Polynomial Interpolation and Applications Article: Sparse tensor finite elements for elliptic multiple scale problems.