Andrew Gibbs

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All published works

Action	Title	Year	Authors
+ PDF Chat	Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets	2023	Andrew Gibbs David P. Hewett B Major
+	Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets	2023	Andrew Gibbs David P. Hewett B Major
+	An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles	2023	Andrew Gibbs S. Langdon
+ PDF Chat	Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	2022	Jon Bannister Andrew Gibbs D. P. Hewett
+	A Hausdorff-measure boundary element method for acoustic scattering by fractal screens	2022	António M. Caetano Simon N. Chandler‐Wilde Andrew Gibbs David P. Hewett Andrea Moiola
+ PDF Chat	High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis	2020	Simon N. Chandler‐Wilde Euan A. Spence Andrew Gibbs V. P. Smyshlyaev
+	A high frequency boundary element method for scattering by a class of multiple obstacles	2019	Andrew Gibbs Simon N. Chandler‐Wilde S. Langdon Andrea Moiola
+	Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation	2019	Andrew Gibbs David G. Hewett Daan Huybrechs Émile Parolin
+	Numerically stable computation of embedding formulae for scattering by polygons	2018	Andrew Gibbs S. Langdon Andrea Moiola
+	High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis	2017	Simon N. Chandler‐Wilde Euan A. Spence Andrew Gibbs V. P. Smyshlyaev

Common Coauthors

Coauthor	Papers Together
Simon N. Chandler‐Wilde	4
David P. Hewett	3
Andrea Moiola	3
S. Langdon	3
V. P. Smyshlyaev	2
B Major	2
Euan A. Spence	2
António M. Caetano	1
Jon Bannister	1
David G. Hewett	1
Daan Huybrechs	1
Émile Parolin	1
D. P. Hewett	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES	2014	Simon N. Chandler‐Wilde David P. Hewett Andrea Moiola	3
+ PDF Chat	Boundary element methods for acoustic scattering by fractal screens	2021	Simon N. Chandler‐Wilde David P. Hewett Andrea Moiola J.C. Besson	3
+ PDF Chat	Wavenumber-Explicit Continuity and Coercivity Estimates in Acoustic Scattering by Planar Screens	2015	Simon N. Chandler‐Wilde David P. Hewett	3
+ PDF Chat	On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space	2016	David P. Hewett Andrea Moiola	2
+ PDF Chat	Well-Posed PDE and Integral Equation Formulations for Scattering by Fractal Screens	2018	Simon N. Chandler‐Wilde David P. Hewett	2
+ PDF Chat	Density results for Sobolev, Besov and Triebel–Lizorkin spaces on rough sets	2021	António M. Caetano David P. Hewett Andrea Moiola	2
+	Orthogonal Polynomials	2004	Walter Gautschi	1
+	Function spaces on subsets of Rn	1984	Alf Jonsson Hans Wallin Jaak Peetre	1
+ PDF Chat	Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations	2016	Dean Baskin Euan A. Spence Jared Wunsch	1
+	Sharp norm estimates of layer potentials and operators at high frequency	2015	Xiaolong Han Melissa Tacy	1
+ PDF Chat	Singularity of self-similar measures with respect to Hausdorff measures	1998	Manuel Morán José-Manuel Rey	1
+ PDF Chat	Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces	2005	Simon N. Chandler‐Wilde Peter Monk	1
+ PDF Chat	Condition number estimates for combined potential boundary integral operators in acoustic scattering	2009	Simon N. Chandler‐Wilde Ivan G. Graham S. Langdon Marko Lindner	1
+	Mellin transforms of correlation integrals and generalized dimension of strange sets	1987	D. Bessis J.-D. Fournier G. Servizi G. Turchetti Sandro Vaienti	1
+ PDF Chat	Coercivity of Combined Boundary Integral Equations in High‐Frequency Scattering	2014	Euan A. Spence I. V. Kamotski V. P. Smyshlyaev	1
+	Duality estimates for the numerical solution of integral equations	1989	Martin Costabel Ernst P. Stephan	1
+ PDF Chat	Local smoothing for the Schrödinger equation with a prescribed loss	2013	Hans Christianson Jared Wunsch	1
+	Asymptotic solution of eigenvalue problems	1960	Joseph B. Keller S. I. Rubinow	1
+ PDF Chat	A high frequency boundary element method for scattering by a class of nonconvex obstacles	2014	Simon N. Chandler‐Wilde David P. Hewett S. Langdon Ashley Twigger	1
+	Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien	1998	Martin Costabel Monique Dauge	1
+ PDF Chat	Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights	2013	Nicholas Hale Alex Townsend	1
+	Stability of Methods for Solving Toeplitz Systems of Equations	1985	James R. Bunch	1
+ PDF Chat	Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering	2011	Timo Betcke Euan A. Spence	1
+ PDF Chat	The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials I: Mellin Transform Techniques	2007	Giorgio Mantica Sandro Vaienti	1
+	Boundary Layer Methods for Lipschitz Domains in Riemannian Manifolds	1999	Marius Mitrea Michael E. Taylor	1
+ PDF Chat	Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation	2010	Timo Betcke Simon N. Chandler‐Wilde Ivan G. Graham S. Langdon Marko Lindner	1
+	The Hausdorff measure of a class of Sierpinski carpets	2005	Yahan Xiong Ji Zhou	1
+ PDF Chat	Potential techniques for boundary value problems on C1-domains	1978	Eugene B. Fabes Max Jodeit N. M. Rivière	1
+	An inequality for the reduced wave operator and the justification of geometrical optics	1968	Cathleen S. Morawetz Donald Ludwig	1
+	An evaluation of Clenshaw–Curtis quadrature rule for integration w.r.t. singular measures	2008	Francesco Calabrò Antonio Corbo Esposito	1
+ PDF Chat	Is Gauss Quadrature Better than Clenshaw–Curtis?	2008	Lloyd N. Trefethen	1
+	A Fast Direct Algorithm for the Solution of the Laplace Equation on Regions with Fractal Boundaries	1994	Peter W. Jones Jiaxing Ma Vladimir Rokhlin	1
+ PDF Chat	A Priori Estimates for High Frequency Scattering by Obstacles of Arbitrary Shape	2012	Evgeny Lakshtanov B. Vaĭnberg	1
+ PDF Chat	Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering	2014	Euan A. Spence	1
+ PDF Chat	Effective Limiting Absorption Principles, and Applications	2014	Igor Rodnianski Terence Tao	1
+ PDF Chat	Acoustic Scattering by an Inhomogeneous Layer on a Rigid Plate	1998	Bo Zhang Simon N. Chandler‐Wilde	1
+ PDF Chat	Scattering Theory for the Acoustic Equation in an Even Number of Space Dimensions	1972	Peter D. Lax Ralph S. Phillips	1
+	Hierarchical Quadrature for Singular Integrals	2005	Steffen B�rm Wolfgang Hackbusch	1
+	Integral equation methods for scattering from an impedance crack	2003	Rainer Kreß Kuo-Ming Lee	1
+	Superfast Solution of Real Positive Definite Toeplitz Systems	1988	Gregory S. Ammar William B. Gragg	1
+ PDF Chat	Geometric interpolation between Hilbert spaces	1992	John E. McCarthy	1
+	On the type of convergence in atomic representations	2011	António M. Caetano	1
+ PDF Chat	Extending Cutoff Resolvent Estimates via Propagation of Singularities	2012	Kiril Datchev	1
+ PDF Chat	Resolvent estimates and local energy decay for hyperbolic equations	2006	Jean‐François Bony Vesselin Petkov	1
+ PDF Chat	Spreading of quasimodes in the Bunimovich stadium	2006	Nicolas Burq Andrew Hassell Jared Wunsch	1
+	Evaluating Integrals Using Self-Similarity	2000	Robert S. Strichartz	1
+	Reduction of order for pseudodifferential operators on lipschitz domains	1991	Reinhold Schneider	1
+ PDF Chat	Decay of solutions of the wave equation in the exterior of several convex bodies	1988	Mitsuru Ikawa	1
+	Convergence of convex sets and of solutions of variational inequalities	1969	Umberto Mosco	1
+ PDF Chat	Application of the linear sampling method to identify cracks with impedance boundary conditions	2012	Mohamed Fahmi Ben Hassen Yosra Boukari Houssem Haddar	1