GLOBAL C1 MAPS ON GENERAL DOMAINS

DOI10.1142/S0218202509003632zbMath1196.35030OpenAlexW2044608235MaRDI QIDQ3636498

A. Emil Løvgren, Einar M. Rønquist, Yvon Maday

Publication date: 30 June 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202509003632

zbMATH Keywords

transfinite interpolationreduced basis element methodarbitrary Lagrangian Eulerian (ALE) method\(C^1\) extensionlifting of tracemean-valued extensionpseudo-harmonic extension

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Continuous maps (54C05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35) Spectral and related methods applied to problems in solid mechanics (74S25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Comparison of some isoparametric mappings for curved triangular spectral elements, An improvement on geometrical parameterizations by transfinite maps, The Spectral Element Method Used to Assess the Quality of a Global C 1 Map, A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks, Reduced basis method and domain decomposition for elliptic problems in networks and complex parametrized geometries, Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows, Free-stream preservation for curved geometrically non-conforming discontinuous Galerkin spectral elements

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