Publications related to THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

In this work we propose and analyze a weighted reduced basis method to solve elliptic partial differential equations (PDEs) with random input data. The PDEs are first transformed into a weighted parametric elliptic problem depending on a finite number of p ...

Siam Publications2013

Solving Wave Equations on Unstructured Geometries

Jan Sickmann Hesthaven

Every wave solver serving the computational study of waves meets a trade-off of two figures of merit—its computational speed and its accuracy. The use of Discontinuous Galerkin (DG) methods on graphical processing units (GPUs) significantly lowers the cost ...

Morgan Kaufmann2012

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Jan Sickmann Hesthaven

A high-order discretization consisting of a tensor product of the Fourier collocation and discontinuous Galerkin methods is presented for numerical modeling of magma dynamics. The physical model is an advection-reaction type system consisting of two hyperb ...

GLOBAL SCIENCE PRESS2011

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Charles Stuart

We consider a class of nonlinear eigenvalue problems including equations such as −Δu(x) + q(x)u(x) + γ u(x)2 ξ(x)2 + u(x)2 u = λu(x) for x ∈ R , where γ > 0, q ∈ L∞(RN ) and ξ ∈ L2(RN ) are given and we are interested in eigenvalues λ ∈ R for which this eq ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2011

Linearization techniques for band structure calculations in absorbing photonic crystals

Daniel Kressner, Peter Cedric Effenberger

Band structure calculations for photonic crystals require the numerical solution of eigenvalue problems. In this paper, we consider crystals composed of lossy materials with frequency-dependent permittivities. Often, these frequency dependencies are modele ...

2011

Global Continuation for Quasilinear Elliptic Systems on R-N and the Equations of Elastostatics

Charles Stuart, Hicham Georges Gebran

We consider quasilinear systems of second order elliptic equations on R-N. Using a continuation theorem based on the topological degree for C-1-Fredholm maps, we derive global properties of a maximal connected set of solutions which decay exponentially to ...

2009

BECOOL: Ballooning eigensolver with COOL finite elements

Jonathan Graves, Wilfred Anthony Cooper

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials. This reduces the second order ordinary differential equati ...

2009

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Graph Chatbot

Chat with Graph Search

Odd linking and bifurcation in gaps: the weakly indefinite case

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Solving Wave Equations on Unstructured Geometries

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Linearization techniques for band structure calculations in absorbing photonic crystals

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Global Continuation for Quasilinear Elliptic Systems on R-N and the Equations of Elastostatics

Numerical Models for Differential Problems

BECOOL: Ballooning eigensolver with COOL finite elements

Odd linking and bifurcation in gaps: the weakly indefinite case

Solving Wave Equations on Unstructured Geometries

Bifurcation and decay of solutions for a class of elliptic equations on R-N

A Weighted Reduced Basis Method For Elliptic Partial Differential Equations With Random Input Data

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Global Continuation for Quasilinear Elliptic Systems on R-N and the Equations of Elastostatics

Linearization techniques for band structure calculations in absorbing photonic crystals

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Numerical Models for Differential Problems

BECOOL: Ballooning eigensolver with COOL finite elements