Asymptotic bounds to outputs of the exact weak solution of the three-dimensional Helmholtz equation
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Summary
This thesis addresses bounds to outputs of interest for the complex Helmholtz equation by exploiting the Lagrangian saddle point property and following the FETI-H approach in the computation of the inter-subdomain continuity multipliers.
- Type
- dissertation
- Published
- 2010-01-01
- Cited by
- 0
- References
- 57
- Access
- Open access
- OpenAlex
- https://openalex.org/W43986165
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:116816513
Keywords
Mathematics, Helmholtz equation, Mathematical analysis, Saddle point, Applied mathematics
References
- A-posteriori error estimates for the finite element method. Technical report TR-581
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- Spectral/hp Element Methods for Computational Fluid Dynamics
- Introductory Functional Analysis: With Applications to Boundary Value Problems and Finite Elements
- Finite Element Analysis of Acoustic Scattering
- Iterative methods for sparse linear systems
- Goal-oriented error estimation and adaptivity for the finite element method
- Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM☆
- A posteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
- Bounds on outputs of the exact weak solution of the three‐dimensional Stokes problem
- On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
- Elliptic Partial Differential Equations
- Some a posteriori error estimators for elliptic partial differential equations
- NUMERICAL ANALYSIS OF A POSTERIORI FINITE ELEMENT BOUNDS FOR LINEAR FUNCTIONAL OUTPUTS
- Computing Bounds for Linear Functionals of Exact Weak Solutions to the Advection-Diffusion-Reaction Equation
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Error-bounds for finite element method
- Nodal high-order methods on unstructured grids
- A hierarchical duality approach to bounds for the outputs of partial differential equations
- The Post-Processing Approach in the Finite Element Method. Part 3. A Posteriori Error Estimates and Adaptive Mesh Selection.
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