Results 131 to 140 of about 3,408 (247)

A Shape Optimisation with the Isogeometric Boundary Element Method and Adjoint Variable Method for the Three-Dimensional Helmholtz Equation [PDF]

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. The boundary element method (BEM) is suitable to analyse such an exterior field.
Matsumoto, Toshiro, Sato, Daisuke, Isakari, Hiroshi, Takahashi, Toru   +3 more
core  

Optimization of Reservoir Waterflooding [PDF]

, 2014
Waterflooding is a common type of oil recovery techniques where water is pumped into the reservoir for increased productivity. Reservoir states change with time, as such, different injection and production settings will be required to lead the process
Grema, Alhaji Shehu
core  

Adjoint method in machine learning: A pathway to efficient inverse design of photonic devices

Materials & Design
Innovative machine learning techniques have facilitated the inverse design of photonic structures for numerous practical applications. Nevertheless, the quantity of data and the initial data distribution are paramount for the discovery of highly ...
Chanik Kang, Dongjin Seo, Svetlana V. Boriskina, Haejun Chung   +3 more
doaj   +1 more source

A Conjugate Operator Pair of Partial Differential Equations Bridging Born and Kirchhoff Approximations for Wave‐Equation Inversion

Geophysical Prospecting, Volume 74, Issue 6, July 2026.
ABSTRACT A conjugate operator pair is introduced for wave‐equation Kirchhoff modelling and migration, formulated as time‐space partial differential equations. The operator pair allows for iterative linearized waveform inversion and supports the reconstruction of angle‐dependent reflectivity images. The proposed forward modelling operator represents the
Wei Zhang, Mauricio D. Sacchi
wiley   +1 more source

Adjoint-Based Methodology for Time-Dependent Optimization [PDF]

, 2008
This paper presents a discrete adjoint method for a broad class of time-dependent optimization problems. The time-dependent adjoint equations are derived in terms of the discrete residual of an arbitrary finite volume scheme which approximates unsteady ...
Yamaleev, N. K., Diskin, B., Nielsen, E. J.   +2 more
core   +1 more source

String topology via the coHochschild complex and local intersections

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley   +1 more source

A robust optimization based on adjoint variable method

A robust optimization based on adjoint variable method
Purpose - This paper presents a new method to obtain robust solutions to electromagnetic optimization problems, solved with evolutional algorithms, which are insensitive to changes in design parameters such as spatial size, positioning and material constant.
openaire  

Null projections and noncommutative function theory in operator algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley   +1 more source

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

An elementary approach to Wehrl‐type entropy bounds in quantitative form

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We consider the problem of the stability (with sharp exponent) of the Lieb–Solovej inequality for symmetric SU(N)$SU(N)$ coherent states, which was obtained only recently by the authors. Here, we propose an elementary proof of this result, based on reformulating the Wehrl‐type entropy as a function defined on the unit sphere in Cd$\mathbb {C ...
Fabio Nicola, Federico Riccardi, Paolo Tilli   +2 more
wiley   +1 more source