Results 61 to 70 of about 186 (123)
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source
On the numerical solution of a nonlinear integral equation of Prandtl's type
, 2005 : We discuss solvability properties of a nonlinear hypersingular integral equation of Prandtl’s type using monotonicity arguments together with different collocation iteration schemes for the numerical solution of such ...
M.R. Capobianco +4 more
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Implicit boundary integral methods [PDF]
, 2016 Boundary integral methods (BIMs) solve constant coefficient, linear partial differential equations (PDEs) which have been formulated as integral equations.
Chen, Chieh
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Adaptive Mesh-Refinement for a Hypersingular Integral Equation in 2D
, 2009 The 2D Laplace equation with Neumann boundary conditions can equivalently be stated as a first-kind integral equation $Wu = F$ with hypersingular integral operator $W$ and certain right-hand side $F$.
Goldenits, Petra
core
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. [PDF]
Stoch Partial Differ Equ, 2022 Harbrecht H, Schmidlin M.
europepmc +1 more source
Boundary Impedance Operator to Study Tipped Parallel Plate Waveguides
, 2014 International audienceAn integral method is proposed to compute the field at the vicinity of the tip of a full planar waveguide with perfect electric conductor boundaries.
Lecler, Sylvain +4 more
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Integral equation methods for scattering from an impedance crack
, 2003 For the scattering problem for time-harmonic waves from an impedance crack in two dimensions, we give a uniqueness and existence analysis via a combined single- and double-layer potential approach in a Hölder space setting leading to a system of integral
Lee, Kuo-Ming, Kress, Rainer, Lee, K. M.
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Active thermal cloaking and mimicking. [PDF]
Proc Math Phys Eng Sci, 2021 Cassier M +3 more
europepmc +1 more source
On the Uniform Boundedness of a Class of Hypersingular Integral Operators on the Hardy Space
Tamkang Journal of MathematicsFor a class of hypersingular integral operators, we establish optimal uniform bounds for their norms on the Hardy space $H^1(\R)$. Our results extend the classical result of Fefferman-Stein for the phase function $1/y$ to phase functions of the form $1/P(y)$ where $P$ is an arbitrary real polynomial.
openaire +1 more source
, 2010 Solving electromagnetic (EM) problems by integral equation methods requires an accurate and efficient treatment for the singular integral kernels related to the Green's function.
Tong, MS, Chew, WC
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