Two-level additive Schwarz preconditioners for fourth-order mixed methods.
Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators
This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list analytic and experimental results concerning triangular and rectangular nonconforming elements which...
Über das Dirichletsche Problem bei der Bipotentialgleichung.
Über die Regularität der schwachen Lösungen von Randwertaufgaben für quasilineare elliptische Differentialgleichungen höherer Ordnung
Über eine Koerzitivitätsgleichung in ... .
Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.
On donne une borne supérieur du nombre des valeurs propres négatives de l’opérateur de Schrödinger généralisé, cette borne est donnée en fonction d’un nombre fini de cube dyadiques minimaux.
Un problème de symétrie pour une équation biharmonique
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing a Stokes...
Unique continuation property near a corner and its fluid-structure controllability consequences
We study a non standard unique continuation property for the biharmonic spectral problem in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle , and , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing...
Utilisation des opérateurs pseudo-différentiels et des opérateurs trace dans certains problèmes aux limites (suite)
Valutazioni a priori e regolarità per soluzioni di equazioni quasi-ellittiche
Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces.
Wavelet bases for the biharmonic problem
In our contribution, we study different Riesz wavelet bases in Sobolev spaces based on cubic splines satisfying homogeneous Dirichlet boundary conditions of the second order. These bases are consequently applied to the numerical solution of the biharmonic problem and their quantitative properties are compared.
Weak solutions of degenerated quasilinear elliptic equations of higher order.
Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.
Wm,2-Fehlerabschätzungen für Galerkin-Näherungen schwach elliptischer quasilinearer Randwertprobleme 2m-ter Ordnung.
Zur Integration der Gleichung ..u = 0 für ebene Bereiche
Zur numerischen Lösung des ersten biharmonischen Randwertproblems.
Аналитическая формула для индекса эллиптической граничной задачи. II
Аналог принципа Сен-Венана для полигармонического уравнения и его приложения