{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T05:51:41Z","timestamp":1770789101799,"version":"3.50.0"},"reference-count":46,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,1,5]],"date-time":"2026-01-05T00:00:00Z","timestamp":1767571200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100020899","name":"ETH Board","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100020899","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational Physics"],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1016\/j.jcp.2026.114665","type":"journal-article","created":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T16:10:18Z","timestamp":1767888618000},"page":"114665","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["A variationally consistent and asymptotically convergent phase-field model for solute precipitation and dissolution"],"prefix":"10.1016","volume":"550","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7948-8296","authenticated-orcid":false,"given":"Andrea","family":"Lamperti","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2748-3287","authenticated-orcid":false,"given":"Laura","family":"De Lorenzis","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.jcp.2026.114665_bib0001","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1063\/1.1744102","article-title":"Free energy of a nonuniform system. I. Interfacial free energy","volume":"28","author":"Cahn","year":"1958","journal-title":"J. Chem. Phys."},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0002","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1063\/1.1695731","article-title":"Phase separation by spinodal decomposition in isotropic systems","volume":"42","author":"Cahn","year":"1965","journal-title":"J. Chem. Phys."},{"issue":"6","key":"10.1016\/j.jcp.2026.114665_bib0003","doi-asserted-by":"crossref","first-page":"1085","DOI":"10.1016\/0001-6160(79)90196-2","article-title":"A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening","volume":"27","author":"Allen","year":"1979","journal-title":"Acta Metall."},{"key":"10.1016\/j.jcp.2026.114665_bib0004","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1146\/annurev.matsci.32.101901.155803","article-title":"Phase-field simulation of solidification","volume":"32","author":"Boettinger","year":"2002","journal-title":"Annu. Rev. Mater. Res."},{"key":"10.1016\/j.jcp.2026.114665_bib0005","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1146\/annurev.matsci.32.112001.132041","article-title":"Phase-field models for microstructure evolution","volume":"32","author":"Chen","year":"2002","journal-title":"Annu. Rev. Mater. Res."},{"issue":"3","key":"10.1016\/j.jcp.2026.114665_bib0006","first-page":"191","article-title":"Phase-field modeling of microstructural pattern formation","volume":"58","author":"Brener","year":"2009","journal-title":"Adv. Phys."},{"key":"10.1016\/j.jcp.2026.114665_bib0007","series-title":"Handbook of Crystal Growth","first-page":"631","article-title":"Phase-field models","author":"Plapp","year":"2015"},{"issue":"10","key":"10.1016\/j.jcp.2026.114665_bib0008","first-page":"53","article-title":"Phase-field methods in materials science and engineering","volume":"69","author":"Elder","year":"2016","journal-title":"Phys. Today"},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0009","doi-asserted-by":"crossref","DOI":"10.1063\/1.2948949","article-title":"Phase-field modeling of solute precipitation and dissolution","volume":"129","author":"Xu","year":"2008","journal-title":"J. Chem. Phys."},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0010","doi-asserted-by":"crossref","first-page":"29","DOI":"10.4171\/ifb\/247","article-title":"Phase field approximation of a kinetic moving-boundary problem modelling dissolution and precipitation","volume":"13","author":"Noorden","year":"2011","journal-title":"Interfaces Free Boundaries"},{"issue":"5","key":"10.1016\/j.jcp.2026.114665_bib0011","doi-asserted-by":"crossref","first-page":"898","DOI":"10.1093\/imamat\/hxw023","article-title":"Upscaling of a tri-phase phase-field model for precipitation in porous media","volume":"81","author":"Redeker","year":"2016","journal-title":"IMA J. Appl. Math."},{"issue":"2","key":"10.1016\/j.jcp.2026.114665_bib0012","doi-asserted-by":"crossref","first-page":"1076","DOI":"10.1137\/19M1239003","article-title":"Phase field modeling of precipitation and dissolution processes in porous media: upscaling and numerical experiments","volume":"18","author":"Bringedal","year":"2020","journal-title":"Multiscale Model. Simul."},{"issue":"01","key":"10.1016\/j.jcp.2026.114665_bib0013","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218202521500019","article-title":"A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution","volume":"31","author":"Rohde","year":"2021","journal-title":"Math. Models Methods Appl. Sci."},{"key":"10.1016\/j.jcp.2026.114665_bib0014","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s11242-021-01560-y","article-title":"Investigation of crystal growth in enzymatically induced calcite precipitation by micro-fluidic experimental methods and comparison with mathematical modeling","volume":"137","author":"Wolff","year":"2021","journal-title":"Transp. Porous Media"},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0015","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.actamat.2008.09.015","article-title":"Phase-field modeling of the discontinuous precipitation reaction","volume":"57","author":"Amirouche","year":"2009","journal-title":"Acta Mater."},{"key":"10.1016\/j.jcp.2026.114665_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.actamat.2022.118007","article-title":"Phase-field model of stoichiometric compounds and solution phases","volume":"234","author":"Ji","year":"2022","journal-title":"Acta Mater."},{"issue":"3","key":"10.1016\/j.jcp.2026.114665_bib0017","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1016\/S0045-7825(98)00219-9","article-title":"The variational formulation of viscoplastic constitutive updates","volume":"171","author":"Ortiz","year":"1999","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"10.1016\/j.jcp.2026.114665_bib0018","first-page":"285","article-title":"Un esempio di \u03b3-convergenza","volume":"14","author":"Modica","year":"1977","journal-title":"Boll. Un Mat. Ital. B"},{"key":"10.1016\/j.jcp.2026.114665_bib0019","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/BF00251230","article-title":"The gradient theory of phase transitions and the minimal interface criterion","volume":"98","author":"Modica","year":"1987","journal-title":"Arch. Ration. Mech. Anal."},{"key":"10.1016\/j.jcp.2026.114665_bib0020","series-title":"Variational Models for Phase Transitions, An Approach Via \u03b3-Convergence, Calculus of Variations and Partial Differential Equations: Topics on Geometrical Evolution Problems and Degree Theory","author":"Ambrosio","year":"2000"},{"key":"10.1016\/j.jcp.2026.114665_bib0021","doi-asserted-by":"crossref","first-page":"126","DOI":"10.3389\/fmats.2019.00126","article-title":"Microbially induced calcium carbonate precipitation (micp) and its potential in bioconcrete: microbiological and molecular concepts","volume":"6","author":"Castro-Alonso","year":"2019","journal-title":"Front. Mater."},{"key":"10.1016\/j.jcp.2026.114665_bib0022","doi-asserted-by":"crossref","first-page":"3059","DOI":"10.1007\/s00253-018-8830-y","article-title":"Current challenges and future directions for bacterial self-healing concrete","volume":"102","author":"Lee","year":"2018","journal-title":"Appl. Microbiol. Biotechnol."},{"issue":"22","key":"10.1016\/j.jcp.2026.114665_bib0023","doi-asserted-by":"crossref","first-page":"5265","DOI":"10.3390\/ma13225265","article-title":"A review on cementitious self-healing and the potential of phase-field methods for modeling crack-closing and fracture recovery","volume":"13","author":"Yang","year":"2020","journal-title":"Materials"},{"key":"10.1016\/j.jcp.2026.114665_bib0024","doi-asserted-by":"crossref","DOI":"10.1016\/j.conbuildmat.2021.122460","article-title":"Microbial induced calcium carbonate precipitation study using bacillus subtilis with application to self-healing concrete preparation and characterization","volume":"280","author":"Feng","year":"2021","journal-title":"Constr. Build. Mater."},{"key":"10.1016\/j.jcp.2026.114665_bib0025","series-title":"Application of Microbially Induced Calcium Carbonate Precipitation (MICP) Process in Concrete Self-Healing and Environmental Restoration to Facilitate Carbon Neutrality: A Critical Review","first-page":"1","author":"Chang","year":"2024"},{"key":"10.1016\/j.jcp.2026.114665_bib0026","article-title":"Application of microbially induced calcium carbonate precipitation (micp) technique in concrete crack repair: a review","volume":"411","author":"Zhang","year":"2024","journal-title":"Constr. Build. Mater."},{"issue":"2","key":"10.1016\/j.jcp.2026.114665_bib0027","doi-asserted-by":"crossref","DOI":"10.1016\/j.bgtech.2024.100083","article-title":"Enhancing carbon neutrality: a perspective on the role of microbially induced carbonate precipitation (micp)","volume":"2","author":"Fang","year":"2024","journal-title":"Biogeotechnics"},{"key":"10.1016\/j.jcp.2026.114665_bib0028","article-title":"Biomimetic mineralization for carbon capture and sequestration","volume":"13","author":"Ma","year":"2024","journal-title":"Carbon Capture Sci. Technol."},{"issue":"8","key":"10.1016\/j.jcp.2026.114665_bib0029","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1080\/1064119X.2017.1297877","article-title":"Review of ground improvement using microbial induced carbonate precipitation (micp)","volume":"35","author":"Wang","year":"2017","journal-title":"Mar. Georesour. Geotechnol."},{"issue":"6","key":"10.1016\/j.jcp.2026.114665_bib0030","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1080\/01490451.2016.1225866","article-title":"State-of-the-art review of biocementation by microbially induced calcite precipitation (micp) for soil stabilization","volume":"34","author":"Mujah","year":"2017","journal-title":"Geomicrobiol. J."},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.bgtech.2023.100002","article-title":"Microbially induced carbonate precipitation (micp) for soil strengthening: a comprehensive review","volume":"1","author":"Fu","year":"2023","journal-title":"Biogeotechnics"},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0032","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1137\/0915007","article-title":"Phase field computations of single-needle crystals, crystal growth, and motion by mean curvature","volume":"15","author":"Caginalp","year":"1994","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"10.1016\/j.jcp.2026.114665_bib0033","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.cpc.2011.08.005","article-title":"Phase field and level set methods for modeling solute precipitation and\/or dissolution","volume":"183","author":"Xu","year":"2012","journal-title":"Comput. Phys. Commun."},{"issue":"6","key":"10.1016\/j.jcp.2026.114665_bib0034","doi-asserted-by":"crossref","first-page":"7186","DOI":"10.1103\/PhysRevE.60.7186","article-title":"Phase-field model for binary alloys","volume":"60","author":"Kim","year":"1999","journal-title":"Phys. Rev. E"},{"issue":"3","key":"10.1016\/j.jcp.2026.114665_bib0035","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.84.031601","article-title":"Unified derivation of phase-field models for alloy solidification from a grand-potential functional","volume":"84","author":"Plapp","year":"2011","journal-title":"Phys. Rev. E-Stat. Nonlinear Soft Matter Phys."},{"key":"10.1016\/j.jcp.2026.114665_bib0036","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.corsci.2016.04.001","article-title":"A phase field model for simulating the pitting corrosion","volume":"110","author":"Mai","year":"2016","journal-title":"Corros. Sci."},{"key":"10.1016\/j.jcp.2026.114665_bib0037","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.commatsci.2014.12.004","article-title":"Phase field modeling of v2o5 hot corrosion kinetics in thermal barrier coatings","volume":"99","author":"Abubakar","year":"2015","journal-title":"Comput. Mater. Sci"},{"key":"10.1016\/j.jcp.2026.114665_bib0038","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2019.112472","article-title":"An efficient second-order linear scheme for the phase field model of corrosive dissolution","volume":"367","author":"Gao","year":"2020","journal-title":"J. Comput. Appl. Math."},{"issue":"4","key":"10.1016\/j.jcp.2026.114665_bib0039","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.53.R3017","article-title":"Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics","volume":"53","author":"Karma","year":"1996","journal-title":"Phys. Rev. E"},{"issue":"3","key":"10.1016\/j.jcp.2026.114665_bib0040","first-page":"179","article-title":"Phase-field modelling of solidification microstructures","volume":"96","author":"Plapp","year":"2016","journal-title":"J. Indian Inst. Sci."},{"key":"10.1016\/j.jcp.2026.114665_bib0041","series-title":"Introduction to Perturbation Methods","volume":"20","author":"Holmes","year":"2012"},{"issue":"4","key":"10.1016\/j.jcp.2026.114665_bib0042","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.3934\/dcds.2006.15.1017","article-title":"A rapidly converging phase field model","volume":"15","author":"Chen","year":"2006","journal-title":"Discrete Contin. Dyn. Syst."},{"issue":"4","key":"10.1016\/j.jcp.2026.114665_bib0043","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1145\/1268776.1268779","article-title":"Kanschat, deal. ii-a general-purpose object-oriented finite element library","volume":"33","author":"Bangerth","year":"2007","journal-title":"ACM Trans. Math. Softw."},{"issue":"20","key":"10.1016\/j.jcp.2026.114665_bib0044","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.88.206105","article-title":"Nucleation and bulk crystallization in binary phase field theory","volume":"88","author":"Gr\u00e1n\u00e1sy","year":"2002","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"10.1016\/j.jcp.2026.114665_bib0045","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.67.035412","article-title":"Phase-field approach to heterogeneous nucleation","volume":"67","author":"Castro","year":"2003","journal-title":"Phys. Rev. B"},{"key":"10.1016\/j.jcp.2026.114665_bib0046","doi-asserted-by":"crossref","DOI":"10.1016\/j.cageo.2020.104505","article-title":"Modeling transport of charged species in pore networks: solution of the Nernst-Planck equations coupled with fluid flow and charge conservation equations","volume":"140","author":"Agnaou","year":"2020","journal-title":"Comput. Geosci."}],"container-title":["Journal of Computational Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002199912600015X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002199912600015X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T17:50:08Z","timestamp":1770745808000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S002199912600015X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4]]},"references-count":46,"alternative-id":["S002199912600015X"],"URL":"https:\/\/doi.org\/10.1016\/j.jcp.2026.114665","relation":{},"ISSN":["0021-9991"],"issn-type":[{"value":"0021-9991","type":"print"}],"subject":[],"published":{"date-parts":[[2026,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A variationally consistent and asymptotically convergent phase-field model for solute precipitation and dissolution","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational Physics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jcp.2026.114665","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Author(s). Published by Elsevier Inc.","name":"copyright","label":"Copyright"}],"article-number":"114665"}}