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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer Berlin Heidelberg

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DOI

10.1002/chin.199534091

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0945-3245

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Intrinsic finite element methods for the computati

Authors: P G Ciarlet P Ciarlet S A Sauter C Simian
Publish Date: 2015/06/14
Volume: 132, Issue: 3, Pages: 433-462
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Abstract

In this paper we consider an intrinsic approach for the direct computation of the fluxes for problems in potential theory We develop a general method for the derivation of intrinsic conforming and nonconforming finite element spaces and appropriate lifting operators for the evaluation of the righthand side from abstract theoretical principles related to the second Strang Lemma This intrinsic finite element method is analyzed and convergence with optimal order is proved

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  2. A new class of symplectic integration schemes based on generating functions
  3. An optimal adaptive finite element method for elastoplasticity
  4. Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence
  5. Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain
  6. Decay rates of adaptive finite elements with Dörfler marking
  7. Multi-parameter regularization and its numerical realization
  8. Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes
  9. Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation
  10. A uniformly stable Fortin operator for the Taylor–Hood element
  11. A locking-free $$hp$$ DPG method for linear elasticity with symmetric stresses
  12. Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients
  13. The multi-level Monte Carlo finite element method for a stochastic Brinkman Problem
  14. Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements
  15. Multi-level spectral galerkin method for the navier-stokes problem I : spatial discretization
  16. Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods
  17. A residual–based error estimator for BEM–discretizations of contact problems
  18. An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems
  19. Preconditioners for pseudodifferential equations on the sphere with radial basis functions
  20. Symmetric multistep methods for constrained Hamiltonian systems
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  22. Numerical Eulerian method for linearized gas dynamics in the high frequency regime
  23. Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces
  24. The boundary element spline collocation for nonuniform meshes on the torus
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  26. On generalized successive overrelaxation methods for augmented linear systems
  27. On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
  28. A mixed finite element method for nonlinear elasticity: two-fold saddle point approach and a-posteriori error estimate
  29. Intrinsic representation of tangent vectors and vector transports on matrix manifolds
  30. Crouzeix–Raviart boundary elements
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