Results 221 to 230 of about 9,300 (265)
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A Posteriori Error Estimator for Obstacle Problems
SIAM Journal on Scientific Computing, 2010In this paper, we consider a posteriori error estimators for obstacle problems. The variational inequality is reformulated as a mixed problem in terms of a discrete nodewise defined but variationally consistent Lagrange multiplier. Locally defined equilibrated fluxes and an $H(\mathrm{div})$-conforming lifting define our estimator.
Alexander A. Weiss, Barbara I. Wohlmuth
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A-Posteriori Estimation Of The Error
2001Abstract In Chapters 3 and 4, we analyzed the properties of the Finite Element Method. We have shown that the finite element solution converges to the exact solution by establishing asymptotic estimates for the energy norm, the L2 norm, and various other norms of the error.
Ivo Babuška, Theofanis Strouboulis
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2010
The error analysis for the Galerkin discretization exhibits the asymptotic conver- 3 gence rates for the boundary element method which depend on the regularity of the 4 underlying integral equation. These estimates are called a priori estimates because 5 they hold for large classes of problems which are characterized by their regular- 6 ity.
Stefan A. Sauter, Christoph Schwab
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The error analysis for the Galerkin discretization exhibits the asymptotic conver- 3 gence rates for the boundary element method which depend on the regularity of the 4 underlying integral equation. These estimates are called a priori estimates because 5 they hold for large classes of problems which are characterized by their regular- 6 ity.
Stefan A. Sauter, Christoph Schwab
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Computer Methods in Applied Mechanics and Engineering, 1990
We present a summary of error estimation and adaptivity techniques and concepts. We also present the major types of refinement or adaptation strategies. In Section 3, we discuss the need for efficiency in large- scale, time-dependent problems and discuss recent effective local spatial and temporal adaptive strategies for these problems. We then discuss
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We present a summary of error estimation and adaptivity techniques and concepts. We also present the major types of refinement or adaptation strategies. In Section 3, we discuss the need for efficiency in large- scale, time-dependent problems and discuss recent effective local spatial and temporal adaptive strategies for these problems. We then discuss
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A Posteriori Error Estimates for Nonstationary Problems
2016We apply continuous and discontinuous Galerkin time discretization together with standard finite element method for space discretization to the heat equation. For the numerical solution arising from these discretizations we present a guaranteed and fully computable a posteriori error upper bound.
Vít Dolejsí +2 more
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A Posteriori Error Estimates for Parabolic Variational Inequalities
Journal of Scientific Computing, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yves Achdou +2 more
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A Posteriori Error Estimators for a Class of Variational Inequalities
Journal of Scientific Computing, 2000The finite element approximation of obstacle problems is considered. Triangular elements are used for the approximation of the corresponding variational inequality. A posteriori error estimators with different regularity assumptions on the boundary conditions are derived. In two numerical examples the application of the error estimator to adaptive mesh
Wenbin Liu, Ningning Yan
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A Posteriori Error Estimates in Iterative Procedures
SIAM Journal on Numerical Analysis, 1973In many cases a rough theoretical a priori error estimate allows one to obtain a relatively good a posteriori estimate. The paper deals first with a very general method in the case of general metric spaces and proceeds then to the more detailed discussion of iterative procedures in the case of systems of linear equations.
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A POSTERIORI ERROR ESTIMATION IN BIOMEDICAL IMAGING
2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2007We present an adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy with a special focus on new application in medical imaging. The problem takes the form of reconstructing an unknown sound velocity c(x) from boundary displacement data measured in acoustic microscopy in order to obtain the pathological defects
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An A Posteriori Error Estimator for the FEM in Nonlinear Elastostatics
SIAM Journal on Scientific Computing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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