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International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz +3 more
wiley +1 more source
Behavior of the Chebyshev operator of best approximation from a curve of functions [PDF]
, 1977 The local behavior of the Chebyshev operator of best approximation from a curve of functions (of which exponential sums are a special case) is studied, with emphasis on local ...
Dunham, Charles B
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Broadband Electromagnetic Field Prediction at Unseen Wavelengths via Physics‐Guided Neural Operators
Nanophotonics, Volume 15, Issue 15, 13 August 2026.A physics‐guided neural operator is trained on electromagnetic field distributions at discrete wavelengths across diverse nanophotonic structures. At inference, given any permittivity map and query wavelength, the model predicts continuous broadband electric‐field distributions with full‐wave accuracy, including wavelengths unseen during training ...
Joonhyuk Seo +3 more
wiley +1 more source
Convection in porous media and Legendre, Chebyshev Galerkin methods [PDF]
, 2005 The subject of thermal convection in fluid and porous media is investigated, coupled with the development of efficient spectral finite element methods to improve on the more commonly used techniques for these types of problems.
Hill, Antony Α. +2 more
core
A note on some extremal problems for trigonometric polynomials [PDF]
n.a.
Dette, Holger, Melas, Viatcheslav B.
core
The Chebyshev theory of a variation of L approximation [PDF]
, 1991 A new method of approximation is proposed which maintains almost all of the essentials of the Chebyshev theory of best uniform approximation, while also using an L-type measure of ...
Shi, Ying Guang
core +1 more source
A Fortran program for discrete nonlinear Chebyshev approximation [PDF]
, 1980 For approximating functions with an alternating characterization of best Chebyshev approximations, the (single-point exchange) Remez algorithm is used to obtain the best approximation on a finite ...
Dunham, Charles B.
core +1 more source
The Limit of Biased Varisolvent Chebyshev Approximation
, 1982 Best biased and one-sided Chebyshev approximation with respect to a varisolvent approximating function on an interval are considered. The uniform limit of best biased approximations is the (unique) best one-sided approximation if the best one-sided ...
Charles B. Dunham
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Generalized rational Chebyshev approximation
, 1970 In this paper, a generalized rational Chebyshev approximation problem is considered. The problem is this: To minimize the maximum absolute value of the "criterion function" of the error. By imposing a rather natural restriction on the criterion function,
Ichizo Ninomiya
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On Complex Valued Functions with Strongly Unique Best Chebyshev Approximation [PDF]
, 1993 In contrast to the complex case, the best Chebyshev approximation with respect to a finite-dimensional Haar subspace V ⊂ C(Q) (Q compact) is always strongly unique if all functions are real valued.
Spagl, C.
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