A one dimensional deterministic free boundary problem.
Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Displaying similar documents to “Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations”
A one dimensional deterministic free boundary problem.
On the development of Pontryagin's Maximum Principle in the works of A. Ya. Dubovitskii and A. A. Milyutin
Andrei Dmitruk (2009)
Control and Cybernetics
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Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
Control and Cybernetics
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-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes
Thomas Apel, Dieter Sirch (2011)
Applications of Mathematics
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An -estimate of the finite element error is proved for a Dirichlet and a Neumann boundary value problem on a three-dimensional, prismatic and non-convex domain that is discretized by an anisotropic tetrahedral mesh. To this end, an approximation error estimate for an interpolation operator that is preserving the Dirichlet boundary conditions is given. The challenge for the Neumann problem is the proof of a local interpolation error estimate for functions from a weighted Sobolev space. ...
On numerical approximation of an optimal control problem in linear elasticity.
Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
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Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics
Arturo Enrique Gil García, Vadim Azhmyakov, Michael V. Basin (2014)
Kybernetika
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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees...
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
János Karátson, Sergey Korotov (2009)
Applications of Mathematics
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The paper is devoted to the problem of verification of accuracy of approximate solutions obtained in computer simulations. This problem is strongly related to a posteriori error estimates, giving computable bounds for computational errors and detecting zones in the solution domain where such errors are too large and certain mesh refinements should be performed. A mathematical model embracing nonlinear elliptic variational problems is considered in this work. Based on functional type...