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Title of Journal: J Sci Comput

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Abbravation: Journal of Scientific Computing

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Springer US

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DOI

10.1002/smi.943

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1573-7691

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Theoretical and Numerical Investigation of the Fin

Authors: Monique Dauge Alexander Düster Ernst Rank
Publish Date: 2015/03/05
Volume: 65, Issue: 3, Pages: 1039-1064
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Abstract

We present a detailed analysis of the convergence properties of the finite cell method which is a fictitious domain approach based on high order finite elements It is proved that exponential type of convergence can be obtained by the finite cell method for Laplace and Lamé problems in one two as well as three dimensions Several numerical examples in one and two dimensions including a wellknown benchmark problem from linear elasticity confirm the results of the mathematical analysis of the finite cell method

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Other Papers In This Journal:
  1. A Hybridized Discontinuous Galerkin Method with Reduced Stabilization
  2. Exact Low-Rank Matrix Completion from Sparsely Corrupted Entries Via Adaptive Outlier Pursuit
  3. Efficient Rearrangement Algorithms for Shape Optimization on Elliptic Eigenvalue Problems
  4. Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data
  5. Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems
  6. The Finite Volume-Complete Flux Scheme for Advection-Diffusion-Reaction Equations
  7. Simulation of an $$n^{+}\hbox {-}n\hbox {-}n^{+}$$ Diode by Using Globally-Hyperbolically-Closed High-Order Moment Models
  8. Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials
  9. The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations
  10. Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence
  11. Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions
  12. A Posteriori Estimates for a Natural Neumann–Neumann Domain Decomposition Algorithm on a Unilateral Contact Problem
  13. Solving 1D Conservation Laws Using Pontryagin’s Minimum Principle
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