Thin obstacle problem: estimates of the distance to the exact solution
From MaRDI portal
Publication:1729841
DOI10.4171/IFB/410zbMath1407.35231arXiv1703.06357OpenAlexW2614933081WikidataQ109299496 ScholiaQ109299496MaRDI QIDQ1729841
Darya E. Apushkinskaya, Sergey I. Repin
Publication date: 28 February 2019
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.06357
free boundary problemsthin obstacleestimates of the distance to the exact solutionvariationals problems
Numerical optimization and variational techniques (65K10) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)
Related Items
Functional a posteriori error estimates for the parabolic obstacle problem ⋮ Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions
Cites Work
- Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates
- Boundary Harnack estimates in slit domains and applications to thin free boundary problems
- Higher regularity of the free boundary in the elliptic Signorini problem
- An optimal Poincaré inequality for convex domains
- Optimal regularity for the Signorini problem
- Two dimensional variational problems with thin obstacles
- Estimates of deviations from exact solutions of elliptic variational inequalities
- Global solutions of an obstacle-problem-like equation with two phases
- Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- The two-phase membrane problem--an intersection-comparison approach to the regularity at branch points
- A posteriori error estimates for two-phase obstacle problem
- On the coincidence set in variational inequalities
- Optimal regularity of lower dimensional obstacle problems
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Exact constants in Poincaré type inequalities for functions with zero mean boundary traces
- The structure of the free boundary for lower dimensional obstacle problems
- Further regularity for the signorini problem
- Financial Modelling with Jump Processes
- A posteriori error estimation for variational problems with uniformly convex functionals
- The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
- Variational inequalities
- Approximations in elasticity based on the concept of function space
- An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
