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zbMath1231.35002MaRDI QIDQ3093929
Publication date: 19 October 2011
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Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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u\)-Laplace operator] ⋮ Sharp numerical inclusion of the best constant for embedding \(H_0^1(\Omega) \hookrightarrow L^p(\Omega)\) on bounded convex domain ⋮ Preconditioning high order \(H^2\) conforming finite elements on triangles ⋮ Isogeometric collocation: Neumann boundary conditions and contact ⋮ Isogeometric mortar methods ⋮ Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition ⋮ Error analysis of the compliance model for the Signorini problem ⋮ A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law ⋮ A multi level Monte Carlo method with control variate for elliptic PDEs with log-normal coefficients ⋮ Numerical verification for asymmetric solutions of the Hénon equation on bounded domains ⋮ Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains application to the extended Courant property ⋮ Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity ⋮ Critical polyharmonic systems and optimal partitions ⋮ Large data and zero noise limits of graph-based semi-supervised learning algorithms ⋮ Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry ⋮ Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner ⋮ \(P_1\) finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions ⋮ Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility ⋮ Stochastic differential games: Occupation measure based approach ⋮ Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results ⋮ Second order regularity for the \(p (x)\)-Laplace equations with \(L^2\) data on the right-hand side ⋮ The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem ⋮ Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon ⋮ Error analysis of deep Ritz methods for elliptic equations ⋮ The eigenvalue problem for the regional fractional Laplacian in the small order limit ⋮ Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem ⋮ A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles ⋮ Non-conforming multiscale finite element method for Stokes flows in heterogeneous media. II: Error estimates for periodic microstructure ⋮ \(H^2\)-conformal approximation of Miura surfaces ⋮ The Wiener criterion for nonlocal Dirichlet problems ⋮ A preconditioning method with auxiliary crack tip subproblems for dynamic crack propagation based on XFEM ⋮ Optimal error estimate of discontinuous Galerkin methods for advection-diffusion-reaction problems with low regularity ⋮ Separable differential operators with parameters ⋮ Multigrid solvers for isogeometric discretizations of the second biharmonic problem ⋮ An error estimate for bilateral contact problem with nonmonotone friction between two electroelastic bodies ⋮ Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis ⋮ Accuracy of Spectral Element Method for Wave, Parabolic, and Schrödinger Equations ⋮ Nonuniqueness of minimizers for semilinear optimal control problems ⋮ Stability Estimate for an Inverse Problem for the Time Harmonic Magnetic Schrödinger Operator from the Near and Far Field Patterns ⋮ A fast dynamic smooth adaptive meshing scheme with applications to compressible flow ⋮ Two-level additive Schwarz methods for three-dimensional unsteady Stokes flows in patient-specific arteries with parameterized one-dimensional central-line coarse preconditioner ⋮ On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system ⋮ A priori error estimate of deep mixed residual method for elliptic PDEs ⋮ Monte Carlo convergence rates for \(k\)th moments in Banach spaces ⋮ Oscillatory phenomena for higher-order fractional Laplacians ⋮ Theoretical Guarantees for the Statistical Finite Element Method ⋮ Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators ⋮ Degenerate diffusion with preisach hysteresis ⋮ Anisotropic regularity for elliptic problems with Dirac measures as data ⋮ On Gaussian interpolation inequalities ⋮ One Navier's problem for the Brinkman system ⋮ Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ Robust optimal ship hulls based on Michell's wave resistance ⋮ A robust and high precision algorithm for elastic scattering problems from cornered domains
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