Found 348 Documents (Results 1–100)
Interior Schauder-type estimates for \(m\)-th order elliptic operators in rearrangement-invariant Sobolev spaces. (Interior Schauder-type estimates for \(m-th\) order elliptic operators in rearrangement-invariant Sobolev spaces.) (English) Zbl 07887282
Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation. (English) Zbl 07878046
Discontinuous Galerkin method for linear parabolic equations with \(L^1\)-data. (English) Zbl 07859228
MSC:
65-XX
Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three. (English) Zbl 1543.53005
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Curvature estimates for a class of fully nonlinear elliptic equations with general right hand sides. (English) Zbl 1539.53051
A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations. (English) Zbl 07827774
The a priori and a posteriori error estimates for modified interior transmission eigenvalue problem in inverse scattering. (English) Zbl 1519.65049
Discontinuous Galerkin method for the interior transmission eigenvalue problem in inverse scattering theory. (English) Zbl 1522.65195
Curvature estimates for \(p\)-convex hypersurfaces of prescribed curvature. (English) Zbl 1518.53007
An interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains. (English) Zbl 1512.65259
Variational and numerical analysis of a Q-tensor model for smectic-A liquid crystals. (English) Zbl 1524.76026
Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source. (English) Zbl 1514.65135
Local \(\varepsilon\)-regularity criteria for the five dimensional stationary Navier-Stokes equations. (English) Zbl 1515.35181
Interior estimates for translating solitons of the \(Q_k\)-flows in \(\mathbb{R}^{n+1}\). (English) Zbl 1510.53108
A fitted numerical method for interior-layer parabolic convection-diffusion problems. (English) Zbl 07714925
Finer interior estimates for injectively elliptic systems of arbitrary order. (English. Russian original) Zbl 1511.35135
J. Math. Sci., New York 268, No. 4, 458-472 (2022); translation from Probl. Mat. Anal. 119, 53-64 (2022).
A combined stabilized mixed finite element and discontinuous Galerkin method for coupled Stokes and Darcy flows with transport. (English) Zbl 1524.76228
Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems. (English) Zbl 1524.65793
A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations. (English) Zbl 1484.35091
The interior gradient estimate for a class of mixed Hessian curvature equations. (English) Zbl 1485.35199
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177
An a priori error analysis of a strain gradient model using \(C^0\) interior penalty methods. (English) Zbl 07907277
Interior Schauder-type estimates for higher-order elliptic operators in grand-Sobolev spaces. (English) Zbl 1513.35003
Uniqueness of the inverse transmission scattering with a conductive boundary condition. (English) Zbl 1513.35413
Corrigendum and improvements to “Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations” and its consequences. (English) Zbl 1485.35001
Memoirs of the American Mathematical Society 1332. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4787-8/pbk; 978-1-4704-6748-7/ebook). v, 19 p. (2021).
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation. (English) Zbl 1496.41003
Reviewer: Zoltán Finta (Cluj-Napoca)
Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations. (English) Zbl 1475.35087
Carleman estimates and observability inequalities for a class of problems ruled by parabolic equations with interior degenaracy. (English) Zbl 1471.35184
Reviewer: Krishnan Balachandran (Coimbatore)
Local energy estimates for the fractional Laplacian. (English) Zbl 1486.65240
Reviewer: Bülent Karasözen (Ankara)
An interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constant. (English) Zbl 1467.35195
\(C^{2,\alpha}\) estimates for solutions to almost linear elliptic equations. (English) Zbl 1471.35134
Reviewer: Zhipeng Yang (Göttingen)
The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space. (English) Zbl 1466.35166
Uniform Lipschitz estimates of homogenization of elliptic systems in divergence form with Dini conditions. (English) Zbl 1464.35014
Hessian estimates for non-divergence form elliptic equations arising from composite materials. (English) Zbl 1472.35120
Reviewer: Gaetano Siciliano (São Paulo)
Interior estimates for solutions of linear elliptic inequalities. (English. Russian original) Zbl 1460.35402
Izv. Math. 85, No. 1, 92-110 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 98-117 (2021).
Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow. (English) Zbl 1524.65565
Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball. (English) Zbl 1458.32036
MSC:
32W20
Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients. (English) Zbl 1458.65145
Interior estimates for Monge-Ampère equation in terms of modulus of continuity. (English) Zbl 1458.35213
Pointwise error estimates for \(C^0\) interior penalty approximation of biharmonic problems. (English) Zbl 1452.65347
Reviewer: Bülent Karasözen (Ankara)
Nonsymmetric interior penalty Galerkin oversampling multiscale finite element method for the multiscale elliptic problems. (Chinese. English summary) Zbl 1488.65652
The property of the first eigenvalue of the spherical Laplacian operator on a spherical annulus in \({S^{n - 1}}\). (Chinese. English summary) Zbl 1474.35506
Quantitative estimates in reiterated homogenization. (English) Zbl 1451.35019
Reviewer: Paolo Musolino (Padova)
Homogenization of parabolic equations with non-self-similar scales. (English) Zbl 1437.35040
Reviewer: Paolo Musolino (Padova)
On reverse Faber-Krahn inequalities. (English) Zbl 1437.35516
Reviewer: Vladimir Bobkov (Plzeň)
Interior estimates in the sup-norm for a class of generalized functions with integral representations. (English) Zbl 1456.35051
A priori and a posteriori error control of discontinuous Galerkin finite element methods for the von Kármán equations. (English) Zbl 1465.65129
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1435.78020
Interior estimates of semidiscrete finite element methods for parabolic problems with distributional data. (English) Zbl 1449.65244
Existence and interior regularity theorems for \(\bar{\partial }\) on \(Q\)-convex domains. (English) Zbl 1431.32004
Regularity results for the equation \(u_{11}u_{22}=1\). (English) Zbl 1444.35086
Reviewer: Igor G. Nikolaev (Urbana)
A compactness approach to Hessian estimates for special Lagrangian equations with supercritical phase. (English) Zbl 1423.35051
Interior estimates of finite volume element methods over quadrilateral meshes for elliptic equations. (English) Zbl 1428.65061
Interior \(C^2\) regularity of convex solutions to prescribing scalar curvature equations. (English) Zbl 1429.35086
Reviewer: Peter B. Gilkey (Eugene)
Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions. (English) Zbl 1426.35113
Reviewer: Mariana Vega Smit (Bellingham)
Periodic homogenization of elliptic systems with stratified structure. (English) Zbl 1418.35029
Reviewer: Adrian Muntean (Karlstad)
Interior regularity estimates for a degenerate elliptic equation with mixed boundary conditions. (English) Zbl 1432.35094
Interior gradient estimates for graphic submanifolds with high codimensions. (English) Zbl 1420.53013
MSC:
53A07
An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1402.65147
The interior \(C^2\) estimate for equation \(\det D^2 u = f(x, \nabla u)\) in dimension two. (English) Zbl 1400.35150
Green function and Martin kernel for higher-order fractional Laplacians in balls. (English) Zbl 1397.35064
Interior energy error estimates for the weak Galerkin finite element method. (English) Zbl 1447.65154
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. (English) Zbl 1376.65130
Analysis of Galerkin and streamline-diffusion FEMs on piecewise equidistant meshes for turning point problems exhibiting an interior layer. (English) Zbl 1377.65094
Regularity of elliptic systems in divergence form with directional homogenization. (English) Zbl 1378.35021
A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. II: Eigenvalue problems. (English) Zbl 1384.65080
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms. (English) Zbl 1380.65132
Reviewer: Srinivasan Natesan (Assam)
A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. (English) Zbl 1370.65068
Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations. (English) Zbl 1368.65166
Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 107-118 (2017).
Sufficient conditions for first-order differential operators to be associated with a \(q\)-metamonogenic operator in a Clifford type algebra. (English) Zbl 1368.35043
The Dirichlet problem for a class of Hessian type equations. (English) Zbl 1373.35064
Reviewer: Zhijie Chen (Beijing)
Localized spectrum slicing. (English) Zbl 1364.65085
Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients. (English) Zbl 1372.65275
Reviewer: Petr Sváček (Praha)
Null controllability for linear parabolic cascade systems with interior degeneracy. (English) Zbl 1353.35184
Two-grid IPDG method for non-symmetric indefinite elliptic equations. (Chinese. English summary) Zbl 1363.65205
On a transmission eigenvalue problem for a spherically stratified coated dielectric. (English) Zbl 1352.31003
The interior \(C^2\) estimate for the Monge-Ampère equation in dimension \(n = 2\). (English) Zbl 1353.35175
Reviewer: Dian K. Palagachev (Bari)
Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions. (English) Zbl 1342.35447
Reviewer: Luca Lorenzi (Parma)
Preasymptotic error analysis of high order interior penalty discontinuous Galerkin methods for the Helmholtz equation with high wave number. (English) Zbl 1353.65112
Reviewer: Iwan Gawriljuk (Eisenach)
\(C^{2,\alpha}\) estimates for nonlinear elliptic equations of twisted type. (English) Zbl 1345.35036
Reviewer: Michael Reissig (Freiberg)
Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates. (English) Zbl 1331.35199
Reviewer: Angkana Rüland (Oxford)
Pre-asymptotic error analysis of \(hp\)-interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number. (English) Zbl 1443.65385
Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems. (English) Zbl 1374.65166
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 17. Proceedings of the 17th seminar (PANM), Dolní Maxov, Czech Republic, June 8–13, 2014. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-64-6). 9-16 (2015).
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