Sciweavers

SIAMNUM
2011
102views more  SIAMNUM 2011»
13 years 2 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
92views more  SIAMNUM 2011»
13 years 2 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
117views more  SIAMNUM 2011»
13 years 6 months ago
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
We present a method to approximate (in any space dimension) diffusion equations with schemes having a specific structure; this structure ensures that the discrete local maximum a...
Jérôme Droniou, Christophe Le Potier
SIAMNUM
2011
161views more  SIAMNUM 2011»
13 years 6 months ago
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
Abstract. A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is discussed. The underlying motion is assumed to be described by a fixed, not ne...
Martin Lenz, Simplice Firmin Nemadjieu, Martin Rum...
SIAMNUM
2011
76views more  SIAMNUM 2011»
13 years 6 months ago
A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity
Christian Wieners, Barbara I. Wohlmuth
SIAMNUM
2011
108views more  SIAMNUM 2011»
13 years 6 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
117views more  SIAMNUM 2011»
13 years 6 months ago
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis
The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the ...
Weifeng Qiu, Leszek F. Demkowicz
SIAMNUM
2011
95views more  SIAMNUM 2011»
13 years 6 months ago
A General Convergence Analysis of Some Newton-Type Methods for Nonlinear Inverse Problems
We consider the methods xδ n+1 = xδ n − gαn (F (xδ n)∗F (xδ n))F (xδ n)∗(F (xδ n)− yδ) for solving nonlinear ill-posed inverse problems F (x) = y using the only ava...
Qinian Jin
SIAMNUM
2011
252views more  SIAMNUM 2011»
13 years 6 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
154views more  SIAMNUM 2011»
13 years 6 months ago
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
Adrien Loseille, Frédéric Alauzet