Isoperimetric profile and uniqueness for Neumann problems
Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form.
Isotropic singularities of solutions of nonlinear elliptic inequalities
Iterations for nonlocal elliptic problems
Convergence of an iteration sequence for some class of nonlocal elliptic problems appearing in mathematical physics is studied.
Iterations of Pompeiu operators.
Iterative Einschliessungen von Lösungen nichtlinearer Differentialgleichungen durch Newton-ähnliche Iterationsverfahren
In der vorliegenden Arbeit untersuchen wir monoton einschliessende Newton-ähnliche Iterationsverfahren zur näherungsweisen Lösung verschiedener Klassen vonnichtlinearen Differentialgleichungen. Die behandelten Methoden sind auch für nichtkonvexe Nichtlinearitäten anwendbar. Ferner konstruieren wir einschliessende Startnäherungen für diese Verfahren, so dass wir die Existenz der Lösungen der gegebenen Differentialgleichungen sichern können. Die Konvergenz der Verfahren wird auch für den Fall bewiesen,...
Iterative methods for operator equations with adjoint factorization.
Iterative refinement of finite element approximations for elliptic problems
Iterative schemes for almost linear eppiptic systems with nonlinear initial data.
Iterative schemes for high order compact discretizations to the exterior Helmholtz equation∗
We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the method converges...
Iterative schemes for high order compact discretizations to the exterior Helmholtz equation∗
We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the method converges...
Iteratively solving a kind of Signorini transmission problem in a unbounded domain
In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
Iteratively solving a kind of signorini transmission problem in a unbounded domain
In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
Itérés d'opérateurs elliptiques dégénérés et applications
diamètre de classes d’espaces de Sobolev sur associés à des opérateurs de type «Schrödinger»
KAM theory in momentum space and quasiperiodic Schrödinger operators
Klassische und schwache Lösungen des Dirichletproblems für lineare elliptische Gleichungen höherer Ordnung in Gebieten mit konischen Ecken.
Kleine periodische Lösungen bei nichtlinearen stark-elliptischen Systemen von partiellen Differentialgleichungen I.
Konvergenzaussagen für Kollokationsverfahren bei elliptischen Randwertaufgaben.
Krylov subspace acceleration for nonlinear multigrid schemes.