Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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A Nonlinear Boundary Problem [PDF]
Proceedings of the American Mathematical Society, 1985 A nonlinear Hilbert problem of power type is solved in closed form by representing a sectionally holomorphic function by means of an integral with power kernel. This technique transforms the problem to one of solving an integral equation of the generalized Abel type.
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations [PDF]
, 2002 We develop systematically a new unifying approach to the analysis of linear stochastic, quantum stochastic and even deterministic equations in Banach spaces.
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +3 more
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Improved Air Mesh Refinement for Accurate Strand-Solid and Self-Collision Handling
IEEE AccessThis paper presents a novel method for efficiently handling strand-solid and self-collisions using air meshes. Traditional collision handling at the primitive level requires extensive computations, such as time-stepping and solving cubic equations, to ...
Jong-Hyun Kim
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On Plateau's Problem with Free Boundaries [PDF]
Proceedings of the National Academy of Sciences, 1945 Not ...
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Non compact boundaries of complex analytic varieties in Hilbert spaces
Complex Manifolds, 2014 We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space H.We deal with the ...
Mongodi Samuele, Saracco Alberto
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SECONDARY FROST HEAVING AROUND COLD PIPELINE (MATEMATICAL MODEL)
Известия высших учебных заведений: Нефть и газ, 2018 The article presents method of modeling the phenomenon of secondary frost heaving. The authors describe also the conditions under which the model is applicable according to the assumptions used in the process of its creating.
O. A. Stepanov +2 more
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Boundary value problems on manifolds with fibered boundary [PDF]
Mathematische Nachrichten, 2005 AbstractWe define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah–Patodi–Singer problems in subspaces (it contains both as special cases).
Savin, Anton, Sternin, Boris
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