2 citations · 2 across the 10 of their papers we have counts for
12 papers
Learned Adaptive Multiresolution Diffusion Imaging
Christian Tantardini, Stig Rune Jensen, Roberto Di Remigio Eikås +1
Adaptive multiresolution methods reduce representation cost by concentrating fine-scale degrees of freedom where needed, but their tree updates are usually governed by fixed local…
Adaptive Multiresolution Diffusion Operators: A Variational Theory on Evolving Multiresolution Spaces
Christian Tantardini, Stig Rune Jensen, Roberto Di Remigio Eikås +1
We develop a variational framework for state-dependent diffusion on adaptive multiresolution representations in which the diffusion operator is generated by the adaptive state itse…
Statistical admissibility and long-wavelength structural convergence determine representative support in granular materials
Fernando Alonso-Marroquin, Abdullah Alqubalee, Eduardo Garzanti +1
Representative elementary areas and volumes provide the scale bridge between resolved granular microstructure and continuum-scale material properties, yet they are still commonly s…
A Fixed-Grid Affine-Constrained Multiwavelet Coefficient Method for Buckley--Leverett Shock Capturing
Christian Tantardini, Evgueni Dinvay
We present a fixed-grid conservative affine-constrained modal/multiwavelet coefficient method for one-dimensional Buckley--Leverett saturation transport. The saturation is evolved…
Nonisothermal global-pressure exactness in fractured multiphase flow with aperture feedback
Christian Tantardini, Fernando Alonso-Marroquin
Global-pressure formulations recast multiphase Darcy flow in terms of a single pressure driving the total flux. Their exact equivalence to phase-pressure formulations holds only wh…
A conservative finite-volume Buckley--Leverett solver with bounded-interval multiwavelet state analysis
Christian Tantardini
We develop a conservative finite-volume Buckley--Leverett solver equipped with a bounded-interval multiwavelet state-analysis layer. Because non-capillary Buckley--Leverett transpo…
A Nonhomogeneous Porous-Medium Equation for Field Scale CO Plume Spreading
Fernando Alonso-Marroquin, Christian Tantardini
We derive a nonlinear diffusion model for field scale CO plume spreading from a Global Buckley--Leverett component balance. The reduced variable is the vertically averaged…
Quaternionic superconductivity links spinful pairing, topology, and charge- order
Christian Tantardini, Jacopo Masotti, Sabri F. Elatresh +1
We present a unified theoretical description of spinful superconductivity that combines singlet and triplet pairing within a complexified quaternion order parameter. The formulatio…
Representative-volume sizing in finite cylindrical computed tomography by low-wavenumber spectral convergence
Fernando Alonso-Marroquin, Abdullah Alqubalee, Christian Tantardini
Choosing a representative element volume (REV) from finite cylindrical Computed Tomography (CT) scans becomes ambiguous when a key field variable exhibits a slow axial trend, refle…
Global Buckley-Leverett theory for multicomponent flow in fractured media: Isothermal equation-of-state coupling and dynamic capillarity
Christian Tantardini, Fernando Alonso-Marroquin
We present an isothermal Global Buckley--Leverett framework for multicomponent, multiphase flow in porous and fractured media that retains the interpretability of classical Buckley…
A basis-free, octonionic criterion for Weyl points in solids
Christian Tantardini
Standard ways of locating and characterizing Weyl points--Berry-flux integrals on small spheres and local fits--are topologically sound but depend on user choices (spher…
Capillarity in Stationary Random Granular Media: Distribution-Aware Screening and Quantitative Supercell Sizing
Christian Tantardini, Fernando Alonso-Marroquin
We develop a quantitative framework to determine the minimal periodic supercell required for representative simulations of capillarity-screened Darcy flow in stationary random, pol…