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pro vyhledávání: '"Ovall, Jeffrey S."'
Autor:
Ovall, Jeffrey S., Zhu, Li
We consider the eigenvalue problem for the magnetic Schr\"odinger operator and take advantage of a property called gauge invariance to transform the given problem into an equivalent problem that is more amenable to numerical approximation. More speci
Externí odkaz:
http://arxiv.org/abs/2409.06023
Autor:
Darrow, David, Ovall, Jeffrey S.
In modeling quantum systems or wave phenomena, one is often interested in identifying eigenstates that approximately carry a specified property; scattering states approximately align with incoming and outgoing traveling waves, for instance, and elect
Externí odkaz:
http://arxiv.org/abs/2408.05394
Let $\Omega \subset \mathbb{R}^d$ and consider the magnetic Laplace operator given by $ H(A) = \left(- i\nabla - A(x)\right)^2$, where $A:\Omega \rightarrow \mathbb{R}^d$, subject to Dirichlet eigenfunction. This operator can, for certain vector fiel
Externí odkaz:
http://arxiv.org/abs/2308.15994
Autor:
Ovall, Jeffrey S., Reynolds, Samuel E.
Recent advancements in finite element methods allows for the implementation of mesh cells with curved edges. In the present work, we develop the tools necessary to employ multiply connected mesh cells, i.e. cells with holes, in planar domains. Our fo
Externí odkaz:
http://arxiv.org/abs/2303.07591
Autor:
Ovall, Jeffrey S.
Publikováno v:
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Thesis (Ph. D.)--University of California, San Diego, 2004.
Vita. Includes bibliographical references (leaves 133-135).
Vita. Includes bibliographical references (leaves 133-135).
Externí odkaz:
http://wwwlib.umi.com/cr/ucsd/fullcit?p3127628
We present a Trefftz-type finite element method on meshes consisting of curvilinear polygons. Local basis functions are computed using integral equation techniques that allow for the efficient and accurate evaluation of quantities needed in the forma
Externí odkaz:
http://arxiv.org/abs/1906.09015
We consider families of finite elements on polygonal meshes, that are defined implicitly on each mesh cell as solutions of local Poisson problems with polynomial data. Functions in the local space on each mesh cell are evaluated via Nystr\"om discret
Externí odkaz:
http://arxiv.org/abs/1708.07323
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Publikováno v:
In Computers and Mathematics with Applications 1 June 2018 75(11):3971-3986
Akademický článek
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