{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0678"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0678","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ ΟΥΣΙΩΝ ΜΕ ΜΕΘΟΔΟΥΣ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ","abstract":"THE SUBJECT OF THIS DISSERTATION IS THE STUDY OF NUMERICAL SOLUTIONS OF THE NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, DESCRIBING THE SIMULTANEOUS MOVEMENT OFWATER AND SOLUTES IN A ONE-DIMENSIONAL SATURATED-UNSATURATED SOIL PROFILE WITHMETHODS OF FINITE ELEMENTS. THE NUMERICAL SOLUTIONS ARE BASED UPON FOUR FINITEELEMENT SCHEMES: A) THE STANDARD GALERKIN METHOD (SGM), B) THE MASS LUMPING FINITE ELEMENT METHOD (MLGM), C) THE SIMPLE MASS LUMPING FINITE ELEMENT METHOD (SMLGM) AND D) THE DISCONTINUOUS GALERKIN OR PETROV-GALERKIN METHOD (PGM). IN ALLTHESE COMPUTATIONAL SCHEMES ONE DIMENSIONAL LINEAR ELEMENT IS USED. (SHORTENED)","abstract_html":"THE SUBJECT OF THIS DISSERTATION IS THE STUDY OF NUMERICAL SOLUTIONS OF THE NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, DESCRIBING THE SIMULTANEOUS MOVEMENT OFWATER AND SOLUTES IN A ONE-DIMENSIONAL SATURATED-UNSATURATED SOIL PROFILE WITHMETHODS OF FINITE ELEMENTS. THE NUMERICAL SOLUTIONS ARE BASED UPON FOUR FINITEELEMENT SCHEMES: A) THE STANDARD GALERKIN METHOD (SGM), B) THE MASS LUMPING FINITE ELEMENT METHOD (MLGM), C) THE SIMPLE MASS LUMPING FINITE ELEMENT METHOD (SMLGM) AND D) THE DISCONTINUOUS GALERKIN OR PETROV-GALERKIN METHOD (PGM). IN ALLTHESE COMPUTATIONAL SCHEMES ONE DIMENSIONAL LINEAR ELEMENT IS USED. (SHORTENED)","abstract_has_math":false,"creators":["Αντωνόπουλος, Βασίλειος","Antonopoulos, Vassilios"],"institution":"Aristotle University Of Thessaloniki (AUTH)","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1988,"date_issued":"1988","date_published":"1988","updated_at":"2026-07-24T02:25:24Z","subjects":["Ακόρεστη ροή","ΔΙΑΛΥΜΕΝΗ ΟΥΣΙΑ","Διασπορά","Έδαφος","ΚΑΤΑΝΟΜΗ ΑΛΑΤΩΝ","ΚΑΤΑΝΟΜΗ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ","Μετακίνηση","Μεταφορά μάζας","Πεπερασμένα στοιχεία","Convection","Dispersion","Finite elements","MASS TRANSPORT","SALT DISTRIBUTION","Soil","SOIL MOISTURE DISTRIBUTION","SOLUTES","Unsaturated flow","Γεωπονικές Επιστήμες και Κτηνιατρική","Γεωπονία, Δασολογία και Αλιεία","Agricultural and Veterinary Sciences","Agriculture, Forestry and Fisheries"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0678"],"render_values":[{"text":"10.12681/eadd/0678","href":"https://doi.org/10.12681/eadd/0678","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0678","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Αντωνόπουλος, Βασίλειος","Antonopoulos, Vassilios"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1988"]},{"key":"dc:publisher","label":"Institution","values":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Ακόρεστη ροή","ΔΙΑΛΥΜΕΝΗ ΟΥΣΙΑ","Διασπορά","Έδαφος","ΚΑΤΑΝΟΜΗ ΑΛΑΤΩΝ","ΚΑΤΑΝΟΜΗ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ","Μετακίνηση","Μεταφορά μάζας","Πεπερασμένα στοιχεία","Convection","Dispersion","Finite elements","MASS TRANSPORT","SALT DISTRIBUTION","Soil","SOIL MOISTURE DISTRIBUTION","SOLUTES","Unsaturated flow","Γεωπονικές Επιστήμες και Κτηνιατρική","Γεωπονία, Δασολογία και Αλιεία","Agricultural and Veterinary Sciences","Agriculture, Forestry and Fisheries"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0678","http://hdl.handle.net/10442/hedi/0678"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["THE SUBJECT OF THIS DISSERTATION IS THE STUDY OF NUMERICAL SOLUTIONS OF THE NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, DESCRIBING THE SIMULTANEOUS MOVEMENT OFWATER AND SOLUTES IN A ONE-DIMENSIONAL SATURATED-UNSATURATED SOIL PROFILE WITHMETHODS OF FINITE ELEMENTS. THE NUMERICAL SOLUTIONS ARE BASED UPON FOUR FINITEELEMENT SCHEMES: A) THE STANDARD GALERKIN METHOD (SGM), B) THE MASS LUMPING FINITE ELEMENT METHOD (MLGM), C) THE SIMPLE MASS LUMPING FINITE ELEMENT METHOD (SMLGM) AND D) THE DISCONTINUOUS GALERKIN OR PETROV-GALERKIN METHOD (PGM). IN ALLTHESE COMPUTATIONAL SCHEMES ONE DIMENSIONAL LINEAR ELEMENT IS USED. (SHORTENED)","ΑΝΤΙΚΕΙΜΕΝΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΑΥΤΗΣ ΗΤΑΝ Η ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΑΣΤΑΘΟΥΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΚΑΤΑΚΟΡΥΦΗΣ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΜΕΤΑΦΟΡΑΣ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ Σ'ΑΥΤΟ ΟΥΣΙΩΝ, ΜΕ ΤΗ ΔΙΑΔΙΚΑΣΙΑ ΤΗΣ ΜΕΘΟΔΟΥ ΤΩΝ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ. Η ΕΠΙΛΥΣΗ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΑΥΤΩΝ ΕΓΙΝΕ ΜΕ ΤΕΣΣΕΡΑ ΥΠΟΛΟΓΙΣΤΙΚΑ ΣΧΗΜΑΤΑ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ. ΤΑΣΧΗΜΑΤΑ ΑΥΤΑ ΕΙΝΑΙ Α) Η ΚΛΑΣΙΚΗ ΜΕΘΟΔΟΣ GALERKIN (SGM), Β) Η ΜΕΘΟΔΟΣ ΤΗΣ ΣΥΣΣΩΡΕΥΜΕΝΗΣ ΜΑΖΑΣ (MLGM), Γ) Η ΑΠΛΟΠΟΙΗΜΕΝΗ ΜΕΘΟΔΟΣ ΤΗΣ ΣΥΣΣΩΡΕΥΜΕΝΗΣ ΜΑΖΑΣ (SMLGM) KAI Δ) Η ΑΣΥΝΕΧΗΣ ΜΕΘΟΔΟΣ GALERKIN 'H ΜΕΘΟΔΟΣ ΤΩΝ PETROV-GALERKIN (PGM). Σ'ΟΛΑ ΑΥΤΑ ΤΑ ΥΠΟΛΟΓΙΣΤΙΚΑ ΣΧΗΜΑΤΑ ΧΡΗΣΙΜΟΠΟΙΟΥΝΤΑΙ ΜΟΝΟΔΙΑΣΤΑΤΑ ΓΡΑΜΜΙΚΑ ΣΤΟΙΧΕΙΑ.(ΠΕΡΙΚΟΠΗ)"]},{"key":"dc:title","label":"Title","values":["ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ ΟΥΣΙΩΝ ΜΕ ΜΕΘΟΔΟΥΣ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ","SOLUTION OF SOIL WATER MOVEMENT AND SOLUTE TRANSPORT PROBLEMS BY FINITE ELEMENTMETHODS"]}]}],"canonical_facts":{"dc:creator":["Αντωνόπουλος, Βασίλειος","Antonopoulos, Vassilios"],"dc:date":["1988"],"dc:description":["THE SUBJECT OF THIS DISSERTATION IS THE STUDY OF NUMERICAL SOLUTIONS OF THE NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS, DESCRIBING THE SIMULTANEOUS MOVEMENT OFWATER AND SOLUTES IN A ONE-DIMENSIONAL SATURATED-UNSATURATED SOIL PROFILE WITHMETHODS OF FINITE ELEMENTS. THE NUMERICAL SOLUTIONS ARE BASED UPON FOUR FINITEELEMENT SCHEMES: A) THE STANDARD GALERKIN METHOD (SGM), B) THE MASS LUMPING FINITE ELEMENT METHOD (MLGM), C) THE SIMPLE MASS LUMPING FINITE ELEMENT METHOD (SMLGM) AND D) THE DISCONTINUOUS GALERKIN OR PETROV-GALERKIN METHOD (PGM). IN ALLTHESE COMPUTATIONAL SCHEMES ONE DIMENSIONAL LINEAR ELEMENT IS USED. (SHORTENED)","ΑΝΤΙΚΕΙΜΕΝΟ ΤΗΣ ΔΙΑΤΡΙΒΗΣ ΑΥΤΗΣ ΗΤΑΝ Η ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΑΣΤΑΘΟΥΣ ΜΟΝΟΔΙΑΣΤΑΤΗΣ ΚΑΤΑΚΟΡΥΦΗΣ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΜΕΤΑΦΟΡΑΣ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ Σ'ΑΥΤΟ ΟΥΣΙΩΝ, ΜΕ ΤΗ ΔΙΑΔΙΚΑΣΙΑ ΤΗΣ ΜΕΘΟΔΟΥ ΤΩΝ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ. Η ΕΠΙΛΥΣΗ ΤΩΝ ΕΞΙΣΩΣΕΩΝ ΑΥΤΩΝ ΕΓΙΝΕ ΜΕ ΤΕΣΣΕΡΑ ΥΠΟΛΟΓΙΣΤΙΚΑ ΣΧΗΜΑΤΑ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ. ΤΑΣΧΗΜΑΤΑ ΑΥΤΑ ΕΙΝΑΙ Α) Η ΚΛΑΣΙΚΗ ΜΕΘΟΔΟΣ GALERKIN (SGM), Β) Η ΜΕΘΟΔΟΣ ΤΗΣ ΣΥΣΣΩΡΕΥΜΕΝΗΣ ΜΑΖΑΣ (MLGM), Γ) Η ΑΠΛΟΠΟΙΗΜΕΝΗ ΜΕΘΟΔΟΣ ΤΗΣ ΣΥΣΣΩΡΕΥΜΕΝΗΣ ΜΑΖΑΣ (SMLGM) KAI Δ) Η ΑΣΥΝΕΧΗΣ ΜΕΘΟΔΟΣ GALERKIN 'H ΜΕΘΟΔΟΣ ΤΩΝ PETROV-GALERKIN (PGM). Σ'ΟΛΑ ΑΥΤΑ ΤΑ ΥΠΟΛΟΓΙΣΤΙΚΑ ΣΧΗΜΑΤΑ ΧΡΗΣΙΜΟΠΟΙΟΥΝΤΑΙ ΜΟΝΟΔΙΑΣΤΑΤΑ ΓΡΑΜΜΙΚΑ ΣΤΟΙΧΕΙΑ.(ΠΕΡΙΚΟΠΗ)"],"dc:identifier":["10.12681/eadd/0678","http://hdl.handle.net/10442/hedi/0678"],"dc:language":["gre"],"dc:publisher":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"],"dc:subject":["Ακόρεστη ροή","ΔΙΑΛΥΜΕΝΗ ΟΥΣΙΑ","Διασπορά","Έδαφος","ΚΑΤΑΝΟΜΗ ΑΛΑΤΩΝ","ΚΑΤΑΝΟΜΗ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ","Μετακίνηση","Μεταφορά μάζας","Πεπερασμένα στοιχεία","Convection","Dispersion","Finite elements","MASS TRANSPORT","SALT DISTRIBUTION","Soil","SOIL MOISTURE DISTRIBUTION","SOLUTES","Unsaturated flow","Γεωπονικές Επιστήμες και Κτηνιατρική","Γεωπονία, Δασολογία και Αλιεία","Agricultural and Veterinary Sciences","Agriculture, Forestry and Fisheries"],"dc:title":["ΕΠΙΛΥΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΚΙΝΗΣΗΣ ΤΟΥ ΕΔΑΦΙΚΟΥ ΝΕΡΟΥ ΚΑΙ ΤΩΝ ΔΙΑΛΥΜΕΝΩΝ ΟΥΣΙΩΝ ΜΕ ΜΕΘΟΔΟΥΣ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ","SOLUTION OF SOIL WATER MOVEMENT AND SOLUTE TRANSPORT PROBLEMS BY FINITE ELEMENTMETHODS"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:24Z"}