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Discontinuous Galerkin Methods for Friedrichs’ Systems
2007This work presents a unified analysis of Discontinuous Galerkin methods to approximate Friedrichs’ systems. A general set of boundary conditions is identified to guarantee existence and uniqueness of solutions to these systems. A formulation enforcing the boundary conditions weakly is proposed.
Alexandre Ern, Jean-Luc Guermond
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The Lax–Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kao, Chiu Yen +2 more
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Industrial & Engineering Chemistry Analytical Edition, 1946 Lawrence M. White, Geraldine E. Secor
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Quasinilpotent variant of Friedrichs' method in the theory of similarity of linear operators
Functional Analysis and Its Applications, 1984Let X denote a complex Banach space. A closed linear operator A on X is called non-quasianalytic, if it has a representation \(A=A_ 1+iA_ 2\), \(D(A)\subset D(A_ 1)\cap D(A_ 2)\), where \(iA_ 1\), \(iA_ 2\), are generators of strongly continuous groups of operators \(\{T_ 1(t)\}\), \(\{T_ 2(t)\}\), \(t\geq 0\), which commute, and \(\int (\log \| T_ k(t)
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Journal of Scientific Computing, 2015
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Chen, Weitao +2 more
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Chen, Weitao +2 more
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Nonlinear Analysis: Theory, Methods & Applications, 1992
The author continues his study of the solvable Friedrichs extension of a densely defined nonlinear, unbounded, and \(K\)-strongly stable operator initiated in [Ill. J. Math. 10, 255--274 (1966; Zbl 0139.31503)]. The abstract results are illustrated by applications to the diffusion equation \[ -\Delta u+g(x)\frac{\partial u}{\partial y}+f(u,y)=h(x,y ...
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The author continues his study of the solvable Friedrichs extension of a densely defined nonlinear, unbounded, and \(K\)-strongly stable operator initiated in [Ill. J. Math. 10, 255--274 (1966; Zbl 0139.31503)]. The abstract results are illustrated by applications to the diffusion equation \[ -\Delta u+g(x)\frac{\partial u}{\partial y}+f(u,y)=h(x,y ...
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