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SIAMNUM
2011
92views more  SIAMNUM 2011»
12 years 9 months ago
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side
The Green function of the Poisson equation in two dimensions is not contained in the Sobolev space H1(Ω) such that finite element error estimates for the discretization of a prob...
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vex...
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 1 months ago
Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
We develop and analyze least-squares finite element methods for two complementary div-curl elliptic boundary value problems. The first one prescribes the tangential component of ...
Pavel B. Bochev, Kara Peterson, Christopher M. Sie...
SIAMNUM
2011
108views more  SIAMNUM 2011»
13 years 1 months ago
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
We introduce a new mixed method for the biharmonic problem. The method is based on a formulation where the biharmonic problem is re-written as a system of four first-order equatio...
Edwin M. Behrens, Johnny Guzmán
SIAMNUM
2011
102views more  SIAMNUM 2011»
12 years 9 months ago
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
Abstract. When studying the ε-pseudospectrum of a matrix, one is often interested in computing the extremal points having maximum real part or modulus. This is a crucial step, for...
Nicola Guglielmi, Christian Lubich
SIAMNUM
2011
328views more  SIAMNUM 2011»
13 years 1 months ago
First-Order System Least Squares for Coupled Stokes-Darcy Flow
The coupled problem with Stokes flow in one subdomain and a Darcy flow model in a second subdomain is studied in this paper. Both flow problems are treated as first-order syste...
Steffen Münzenmaier, Gerhard Starke