DOI10.1137/070701479zbMath1208.65154OpenAlexW2058824833MaRDI QIDQ3069090
Shipeng Mao, Roland Becker, Zhong-Ci Shi
Publication date: 24 January 2011
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070701479
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint,
Axioms of adaptivity,
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem,
A discrete Helmholtz decomposition with morley finite element functions and the optimality of adaptive finite element schemes,
Estimating and localizing the algebraic and total numerical errors using flux reconstructions,
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on \(L^{2}\) errors,
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs,
Convergence and complexity of arbitrary order adaptive mixed element methods for the Poisson equation,
Optimal adaptive nonconforming FEM for the Stokes problem,
Error reduction of the adaptive conforming and nonconforming finite element methods with red-green refinement,
A remark on the optimality of adaptive finite element methods,
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors,
Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form,
Convergence and quasi-optimality of \(L^2\)-norms based an adaptive finite element method for nonlinear optimal control problems,
A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems,
Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem,
The lower bound property of the Morley element eigenvalues,
A robust prolongation operator for non-nested finite element methods,
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems,
Convergence and quasi-optimality of adaptive nonconforming finite element methods for some nonsymmetric and indefinite problems,
Convergence of a standard adaptive nonconforming finite element method with optimal complexity,
Adaptive finite element method for nonmonotone quasi-linear elliptic problems,
Contraction property of adaptive hybridizable discontinuous Galerkin methods,
Recurrent neural networks as optimal mesh refinement strategies,
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides,
Energy contraction and optimal convergence of adaptive iterative linearized finite element methods,
Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element,
A priori and computable a posteriori error estimates for an HDG method for the coercive Maxwell equations,
Optimality of a Standard Adaptive Finite Element Method for the Stokes Problem,
A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems,
Rate optimality of adaptive finite element methods with respect to overall computational costs,
Forty Years of the Crouzeix‐Raviart element,
The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes,
Interplay between discretization and algebraic computation in adaptive numerical solutionof elliptic PDE problems
